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Finding the Fourth Proportional to 506,238.12, 698,605.56 and 279,882

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Solution

The fourth proportional to 506,238.12, 698,605.56 and 279,882 is: 386,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,238.12 : 698,605.56 = 279,882 : x
  2. Step 2: Convert to fraction form
    506,238.12/698,605.56 = 279,882/x
  3. Step 3: Cross multiply
    506,238.12x = 698,605.56 × 279,882
  4. Step 4: Simplify right side
    506,238.12x = 195,527,121,343.92
  5. Step 5: Solve for x
    x = 195,527,121,343.92/506,238.12
  6. Step 6: Final answer
    x = 386,235.48

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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.