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Finding the Fourth Proportional to 386,870.49, 580,207.32 and 150,084

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Solution

The fourth proportional to 386,870.49, 580,207.32 and 150,084 is: 225,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,870.49 : 580,207.32 = 150,084 : x
  2. Step 2: Convert to fraction form
    386,870.49/580,207.32 = 150,084/x
  3. Step 3: Cross multiply
    386,870.49x = 580,207.32 × 150,084
  4. Step 4: Simplify right side
    386,870.49x = 87,079,835,414.88
  5. Step 5: Solve for x
    x = 87,079,835,414.88/386,870.49
  6. Step 6: Final answer
    x = 225,087.82

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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.