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Finding the Fourth Proportional to 506,105.82, 698,465.43 and 279,772.38

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Solution

The fourth proportional to 506,105.82, 698,465.43 and 279,772.38 is: 386,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,105.82 : 698,465.43 = 279,772.38 : x
  2. Step 2: Convert to fraction form
    506,105.82/698,465.43 = 279,772.38/x
  3. Step 3: Cross multiply
    506,105.82x = 698,465.43 × 279,772.38
  4. Step 4: Simplify right side
    506,105.82x = 195,411,335,698.82
  5. Step 5: Solve for x
    x = 195,411,335,698.82/506,105.82
  6. Step 6: Final answer
    x = 386,107.66

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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.