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Finding the Fourth Proportional to 291,854.43, 437,782.86 and 81,491.76

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Solution

The fourth proportional to 291,854.43, 437,782.86 and 81,491.76 is: 122,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,854.43 : 437,782.86 = 81,491.76 : x
  2. Step 2: Convert to fraction form
    291,854.43/437,782.86 = 81,491.76/x
  3. Step 3: Cross multiply
    291,854.43x = 437,782.86 × 81,491.76
  4. Step 4: Simplify right side
    291,854.43x = 35,675,695,759.23
  5. Step 5: Solve for x
    x = 35,675,695,759.23/291,854.43
  6. Step 6: Final answer
    x = 122,237.98

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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.