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Finding the Fourth Proportional to 261,665.92, 361,146.24 and 154,229.76

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Solution

The fourth proportional to 261,665.92, 361,146.24 and 154,229.76 is: 212,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,665.92 : 361,146.24 = 154,229.76 : x
  2. Step 2: Convert to fraction form
    261,665.92/361,146.24 = 154,229.76/x
  3. Step 3: Cross multiply
    261,665.92x = 361,146.24 × 154,229.76
  4. Step 4: Simplify right side
    261,665.92x = 55,699,497,920.10
  5. Step 5: Solve for x
    x = 55,699,497,920.10/261,665.92
  6. Step 6: Final answer
    x = 212,864.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.