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Finding the Fourth Proportional to 523,693.62, 785,557.17 and 144,642.78

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Solution

The fourth proportional to 523,693.62, 785,557.17 and 144,642.78 is: 216,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,693.62 : 785,557.17 = 144,642.78 : x
  2. Step 2: Convert to fraction form
    523,693.62/785,557.17 = 144,642.78/x
  3. Step 3: Cross multiply
    523,693.62x = 785,557.17 × 144,642.78
  4. Step 4: Simplify right side
    523,693.62x = 113,625,172,917.73
  5. Step 5: Solve for x
    x = 113,625,172,917.73/523,693.62
  6. Step 6: Final answer
    x = 216,968.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.