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Finding the Fourth Proportional to 551,143.92, 826,715.94 and 172,097.13

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Solution

The fourth proportional to 551,143.92, 826,715.94 and 172,097.13 is: 258,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,143.92 : 826,715.94 = 172,097.13 : x
  2. Step 2: Convert to fraction form
    551,143.92/826,715.94 = 172,097.13/x
  3. Step 3: Cross multiply
    551,143.92x = 826,715.94 × 172,097.13
  4. Step 4: Simplify right side
    551,143.92x = 142,275,440,599.25
  5. Step 5: Solve for x
    x = 142,275,440,599.25/551,143.92
  6. Step 6: Final answer
    x = 258,145.71

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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.