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Finding the Fourth Proportional to 502,512.96, 693,494.46 and 284,763.90

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Solution

The fourth proportional to 502,512.96, 693,494.46 and 284,763.90 is: 392,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,512.96 : 693,494.46 = 284,763.90 : x
  2. Step 2: Convert to fraction form
    502,512.96/693,494.46 = 284,763.90/x
  3. Step 3: Cross multiply
    502,512.96x = 693,494.46 × 284,763.90
  4. Step 4: Simplify right side
    502,512.96x = 197,482,187,057.99
  5. Step 5: Solve for x
    x = 197,482,187,057.99/502,512.96
  6. Step 6: Final answer
    x = 392,989.24

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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.