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Finding the Fourth Proportional to 390,765.46, 586,019.67 and 138,000.10

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Solution

The fourth proportional to 390,765.46, 586,019.67 and 138,000.10 is: 206,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,765.46 : 586,019.67 = 138,000.10 : x
  2. Step 2: Convert to fraction form
    390,765.46/586,019.67 = 138,000.10/x
  3. Step 3: Cross multiply
    390,765.46x = 586,019.67 × 138,000.10
  4. Step 4: Simplify right side
    390,765.46x = 80,870,773,061.97
  5. Step 5: Solve for x
    x = 80,870,773,061.97/390,765.46
  6. Step 6: Final answer
    x = 206,954.76

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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.