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Finding the Fourth Proportional to 387,042.50, 580,414.62 and 150,354.02

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Solution

The fourth proportional to 387,042.50, 580,414.62 and 150,354.02 is: 225,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,042.50 : 580,414.62 = 150,354.02 : x
  2. Step 2: Convert to fraction form
    387,042.50/580,414.62 = 150,354.02/x
  3. Step 3: Cross multiply
    387,042.50x = 580,414.62 × 150,354.02
  4. Step 4: Simplify right side
    387,042.50x = 87,267,671,383.77
  5. Step 5: Solve for x
    x = 87,267,671,383.77/387,042.50
  6. Step 6: Final answer
    x = 225,473.10

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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.