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Finding the Fourth Proportional to 390,186.65, 585,326.85 and 137,414.91

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Solution

The fourth proportional to 390,186.65, 585,326.85 and 137,414.91 is: 206,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,186.65 : 585,326.85 = 137,414.91 : x
  2. Step 2: Convert to fraction form
    390,186.65/585,326.85 = 137,414.91/x
  3. Step 3: Cross multiply
    390,186.65x = 585,326.85 × 137,414.91
  4. Step 4: Simplify right side
    390,186.65x = 80,432,636,413.33
  5. Step 5: Solve for x
    x = 80,432,636,413.33/390,186.65
  6. Step 6: Final answer
    x = 206,138.88

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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.