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Finding the Fourth Proportional to 261,442.68, 391,174.38 and 154,883.84

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Solution

The fourth proportional to 261,442.68, 391,174.38 and 154,883.84 is: 231,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,442.68 : 391,174.38 = 154,883.84 : x
  2. Step 2: Convert to fraction form
    261,442.68/391,174.38 = 154,883.84/x
  3. Step 3: Cross multiply
    261,442.68x = 391,174.38 × 154,883.84
  4. Step 4: Simplify right side
    261,442.68x = 60,586,588,128.15
  5. Step 5: Solve for x
    x = 60,586,588,128.15/261,442.68
  6. Step 6: Final answer
    x = 231,739.47

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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.