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Finding the Fourth Proportional to 506,135.08, 698,439 and 279,766

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Solution

The fourth proportional to 506,135.08, 698,439 and 279,766 is: 386,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,135.08 : 698,439 = 279,766 : x
  2. Step 2: Convert to fraction form
    506,135.08/698,439 = 279,766/x
  3. Step 3: Cross multiply
    506,135.08x = 698,439 × 279,766
  4. Step 4: Simplify right side
    506,135.08x = 195,399,485,274
  5. Step 5: Solve for x
    x = 195,399,485,274/506,135.08
  6. Step 6: Final answer
    x = 386,061.93

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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.