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Finding the Fourth Proportional to 516,282.76, 712,473.06 and 286,840.36

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Solution

The fourth proportional to 516,282.76, 712,473.06 and 286,840.36 is: 395,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,282.76 : 712,473.06 = 286,840.36 : x
  2. Step 2: Convert to fraction form
    516,282.76/712,473.06 = 286,840.36/x
  3. Step 3: Cross multiply
    516,282.76x = 712,473.06 × 286,840.36
  4. Step 4: Simplify right side
    516,282.76x = 204,366,029,020.70
  5. Step 5: Solve for x
    x = 204,366,029,020.70/516,282.76
  6. Step 6: Final answer
    x = 395,841.28

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.