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Finding the Fourth Proportional to 459,255.60, 687,654.60 and 292,138.80

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Solution

The fourth proportional to 459,255.60, 687,654.60 and 292,138.80 is: 437,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,255.60 : 687,654.60 = 292,138.80 : x
  2. Step 2: Convert to fraction form
    459,255.60/687,654.60 = 292,138.80/x
  3. Step 3: Cross multiply
    459,255.60x = 687,654.60 × 292,138.80
  4. Step 4: Simplify right side
    459,255.60x = 200,890,589,658.48
  5. Step 5: Solve for x
    x = 200,890,589,658.48/459,255.60
  6. Step 6: Final answer
    x = 437,426.54

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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.