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Finding the Fourth Proportional to 438,862.84, 658,319.88 and 123,344.32

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Solution

The fourth proportional to 438,862.84, 658,319.88 and 123,344.32 is: 185,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,862.84 : 658,319.88 = 123,344.32 : x
  2. Step 2: Convert to fraction form
    438,862.84/658,319.88 = 123,344.32/x
  3. Step 3: Cross multiply
    438,862.84x = 658,319.88 × 123,344.32
  4. Step 4: Simplify right side
    438,862.84x = 81,200,017,941.08
  5. Step 5: Solve for x
    x = 81,200,017,941.08/438,862.84
  6. Step 6: Final answer
    x = 185,023.68

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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.