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Finding the Fourth Proportional to 516,520.71, 712,593.56 and 298,689.09

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Solution

The fourth proportional to 516,520.71, 712,593.56 and 298,689.09 is: 412,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,520.71 : 712,593.56 = 298,689.09 : x
  2. Step 2: Convert to fraction form
    516,520.71/712,593.56 = 298,689.09/x
  3. Step 3: Cross multiply
    516,520.71x = 712,593.56 × 298,689.09
  4. Step 4: Simplify right side
    516,520.71x = 212,843,920,482.82
  5. Step 5: Solve for x
    x = 212,843,920,482.82/516,520.71
  6. Step 6: Final answer
    x = 412,072.38

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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.