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Finding the Fourth Proportional to 291,498, 437,247 and 81,141.42

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Solution

The fourth proportional to 291,498, 437,247 and 81,141.42 is: 121,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,498 : 437,247 = 81,141.42 : x
  2. Step 2: Convert to fraction form
    291,498/437,247 = 81,141.42/x
  3. Step 3: Cross multiply
    291,498x = 437,247 × 81,141.42
  4. Step 4: Simplify right side
    291,498x = 35,478,842,470.74
  5. Step 5: Solve for x
    x = 35,478,842,470.74/291,498
  6. Step 6: Final answer
    x = 121,712.13

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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.