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Finding the Fourth Proportional to 438,781.92, 658,197.50 and 123,214.22

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Solution

The fourth proportional to 438,781.92, 658,197.50 and 123,214.22 is: 184,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,781.92 : 658,197.50 = 123,214.22 : x
  2. Step 2: Convert to fraction form
    438,781.92/658,197.50 = 123,214.22/x
  3. Step 3: Cross multiply
    438,781.92x = 658,197.50 × 123,214.22
  4. Step 4: Simplify right side
    438,781.92x = 81,099,292,597.87
  5. Step 5: Solve for x
    x = 81,099,292,597.87/438,781.92
  6. Step 6: Final answer
    x = 184,828.25

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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.