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Finding the Fourth Proportional to 386,678.48, 580,229.12 and 150,030.50

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Solution

The fourth proportional to 386,678.48, 580,229.12 and 150,030.50 is: 225,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,678.48 : 580,229.12 = 150,030.50 : x
  2. Step 2: Convert to fraction form
    386,678.48/580,229.12 = 150,030.50/x
  3. Step 3: Cross multiply
    386,678.48x = 580,229.12 × 150,030.50
  4. Step 4: Simplify right side
    386,678.48x = 87,052,062,462.09
  5. Step 5: Solve for x
    x = 87,052,062,462.09/386,678.48
  6. Step 6: Final answer
    x = 225,127.77

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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.