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Finding the Fourth Proportional to 502,178.69, 693,049.35 and 284,426.12

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Solution

The fourth proportional to 502,178.69, 693,049.35 and 284,426.12 is: 392,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,178.69 : 693,049.35 = 284,426.12 : x
  2. Step 2: Convert to fraction form
    502,178.69/693,049.35 = 284,426.12/x
  3. Step 3: Cross multiply
    502,178.69x = 693,049.35 × 284,426.12
  4. Step 4: Simplify right side
    502,178.69x = 197,121,334,123.78
  5. Step 5: Solve for x
    x = 197,121,334,123.78/502,178.69
  6. Step 6: Final answer
    x = 392,532.26

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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.