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Finding the Fourth Proportional to 438,957.24, 658,474.74 and 123,416.88

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Solution

The fourth proportional to 438,957.24, 658,474.74 and 123,416.88 is: 185,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,957.24 : 658,474.74 = 123,416.88 : x
  2. Step 2: Convert to fraction form
    438,957.24/658,474.74 = 123,416.88/x
  3. Step 3: Cross multiply
    438,957.24x = 658,474.74 × 123,416.88
  4. Step 4: Simplify right side
    438,957.24x = 81,266,897,969.61
  5. Step 5: Solve for x
    x = 81,266,897,969.61/438,957.24
  6. Step 6: Final answer
    x = 185,136.25

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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.