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Finding the Fourth Proportional to 387,470.81, 580,654.19 and 285,466.64

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Solution

The fourth proportional to 387,470.81, 580,654.19 and 285,466.64 is: 427,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,470.81 : 580,654.19 = 285,466.64 : x
  2. Step 2: Convert to fraction form
    387,470.81/580,654.19 = 285,466.64/x
  3. Step 3: Cross multiply
    387,470.81x = 580,654.19 × 285,466.64
  4. Step 4: Simplify right side
    387,470.81x = 165,757,398,431.62
  5. Step 5: Solve for x
    x = 165,757,398,431.62/387,470.81
  6. Step 6: Final answer
    x = 427,793.25

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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.