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Finding the Fourth Proportional to 513,076.92, 708,047.11 and 286,722.42

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Solution

The fourth proportional to 513,076.92, 708,047.11 and 286,722.42 is: 395,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,076.92 : 708,047.11 = 286,722.42 : x
  2. Step 2: Convert to fraction form
    513,076.92/708,047.11 = 286,722.42/x
  3. Step 3: Cross multiply
    513,076.92x = 708,047.11 × 286,722.42
  4. Step 4: Simplify right side
    513,076.92x = 203,012,980,853.21
  5. Step 5: Solve for x
    x = 203,012,980,853.21/513,076.92
  6. Step 6: Final answer
    x = 395,677.48

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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.