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Finding the Fourth Proportional to 513,793.92, 709,025.43 and 284,337.87

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Solution

The fourth proportional to 513,793.92, 709,025.43 and 284,337.87 is: 392,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,793.92 : 709,025.43 = 284,337.87 : x
  2. Step 2: Convert to fraction form
    513,793.92/709,025.43 = 284,337.87/x
  3. Step 3: Cross multiply
    513,793.92x = 709,025.43 × 284,337.87
  4. Step 4: Simplify right side
    513,793.92x = 201,602,780,542.03
  5. Step 5: Solve for x
    x = 201,602,780,542.03/513,793.92
  6. Step 6: Final answer
    x = 392,380.63

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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.