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Finding the Fourth Proportional to 509,078.80, 702,487.78 and 294,232.78

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Solution

The fourth proportional to 509,078.80, 702,487.78 and 294,232.78 is: 406,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,078.80 : 702,487.78 = 294,232.78 : x
  2. Step 2: Convert to fraction form
    509,078.80/702,487.78 = 294,232.78/x
  3. Step 3: Cross multiply
    509,078.80x = 702,487.78 × 294,232.78
  4. Step 4: Simplify right side
    509,078.80x = 206,694,934,691.97
  5. Step 5: Solve for x
    x = 206,694,934,691.97/509,078.80
  6. Step 6: Final answer
    x = 406,017.56

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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.