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Finding the Fourth Proportional to 292,279.16, 438,423.60 and 81,909.20

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Solution

The fourth proportional to 292,279.16, 438,423.60 and 81,909.20 is: 122,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,279.16 : 438,423.60 = 81,909.20 : x
  2. Step 2: Convert to fraction form
    292,279.16/438,423.60 = 81,909.20/x
  3. Step 3: Cross multiply
    292,279.16x = 438,423.60 × 81,909.20
  4. Step 4: Simplify right side
    292,279.16x = 35,910,926,337.12
  5. Step 5: Solve for x
    x = 35,910,926,337.12/292,279.16
  6. Step 6: Final answer
    x = 122,865.16

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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.