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Finding the Fourth Proportional to 386,707.62, 580,089.16 and 161,841.68

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Solution

The fourth proportional to 386,707.62, 580,089.16 and 161,841.68 is: 242,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,707.62 : 580,089.16 = 161,841.68 : x
  2. Step 2: Convert to fraction form
    386,707.62/580,089.16 = 161,841.68/x
  3. Step 3: Cross multiply
    386,707.62x = 580,089.16 × 161,841.68
  4. Step 4: Simplify right side
    386,707.62x = 93,882,604,204.19
  5. Step 5: Solve for x
    x = 93,882,604,204.19/386,707.62
  6. Step 6: Final answer
    x = 242,774.13

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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.