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Finding the Fourth Proportional to 387,021.78, 580,753.80 and 150,333.71

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Solution

The fourth proportional to 387,021.78, 580,753.80 and 150,333.71 is: 225,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,021.78 : 580,753.80 = 150,333.71 : x
  2. Step 2: Convert to fraction form
    387,021.78/580,753.80 = 150,333.71/x
  3. Step 3: Cross multiply
    387,021.78x = 580,753.80 × 150,333.71
  4. Step 4: Simplify right side
    387,021.78x = 87,306,870,446.83
  5. Step 5: Solve for x
    x = 87,306,870,446.83/387,021.78
  6. Step 6: Final answer
    x = 225,586.45

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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.