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Finding the Fourth Proportional to 291,814.30, 437,721.45 and 81,451.90

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Solution

The fourth proportional to 291,814.30, 437,721.45 and 81,451.90 is: 122,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,814.30 : 437,721.45 = 81,451.90 : x
  2. Step 2: Convert to fraction form
    291,814.30/437,721.45 = 81,451.90/x
  3. Step 3: Cross multiply
    291,814.30x = 437,721.45 × 81,451.90
  4. Step 4: Simplify right side
    291,814.30x = 35,653,243,773.26
  5. Step 5: Solve for x
    x = 35,653,243,773.26/291,814.30
  6. Step 6: Final answer
    x = 122,177.85

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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.