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Finding the Fourth Proportional to 534,865.98, 738,005.97 and 316,978.61

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Solution

The fourth proportional to 534,865.98, 738,005.97 and 316,978.61 is: 437,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,865.98 : 738,005.97 = 316,978.61 : x
  2. Step 2: Convert to fraction form
    534,865.98/738,005.97 = 316,978.61/x
  3. Step 3: Cross multiply
    534,865.98x = 738,005.97 × 316,978.61
  4. Step 4: Simplify right side
    534,865.98x = 233,932,104,957.41
  5. Step 5: Solve for x
    x = 233,932,104,957.41/534,865.98
  6. Step 6: Final answer
    x = 437,365.83

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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.