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Finding the Fourth Proportional to 390,063.94, 585,251.12 and 150,113.42

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Solution

The fourth proportional to 390,063.94, 585,251.12 and 150,113.42 is: 225,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,063.94 : 585,251.12 = 150,113.42 : x
  2. Step 2: Convert to fraction form
    390,063.94/585,251.12 = 150,113.42/x
  3. Step 3: Cross multiply
    390,063.94x = 585,251.12 × 150,113.42
  4. Step 4: Simplify right side
    390,063.94x = 87,854,046,825.75
  5. Step 5: Solve for x
    x = 87,854,046,825.75/390,063.94
  6. Step 6: Final answer
    x = 225,229.86

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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.