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Finding the Fourth Proportional to 308,176.38, 462,411.18 and 213,552.18

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Solution

The fourth proportional to 308,176.38, 462,411.18 and 213,552.18 is: 320,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,176.38 : 462,411.18 = 213,552.18 : x
  2. Step 2: Convert to fraction form
    308,176.38/462,411.18 = 213,552.18/x
  3. Step 3: Cross multiply
    308,176.38x = 462,411.18 × 213,552.18
  4. Step 4: Simplify right side
    308,176.38x = 98,748,915,545.37
  5. Step 5: Solve for x
    x = 98,748,915,545.37/308,176.38
  6. Step 6: Final answer
    x = 320,429.86

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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.