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Finding the Fourth Proportional to 390,120.89, 585,350.35 and 137,581.83

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Solution

The fourth proportional to 390,120.89, 585,350.35 and 137,581.83 is: 206,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,120.89 : 585,350.35 = 137,581.83 : x
  2. Step 2: Convert to fraction form
    390,120.89/585,350.35 = 137,581.83/x
  3. Step 3: Cross multiply
    390,120.89x = 585,350.35 × 137,581.83
  4. Step 4: Simplify right side
    390,120.89x = 80,533,572,000.19
  5. Step 5: Solve for x
    x = 80,533,572,000.19/390,120.89
  6. Step 6: Final answer
    x = 206,432.35

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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.