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Finding the Fourth Proportional to 502,165.06, 692,819.10 and 284,344.06

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Solution

The fourth proportional to 502,165.06, 692,819.10 and 284,344.06 is: 392,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,165.06 : 692,819.10 = 284,344.06 : x
  2. Step 2: Convert to fraction form
    502,165.06/692,819.10 = 284,344.06/x
  3. Step 3: Cross multiply
    502,165.06x = 692,819.10 × 284,344.06
  4. Step 4: Simplify right side
    502,165.06x = 196,998,995,739.55
  5. Step 5: Solve for x
    x = 196,998,995,739.55/502,165.06
  6. Step 6: Final answer
    x = 392,299.29

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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.