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Finding the Fourth Proportional to 291,711.76, 437,641.44 and 81,349.72

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Solution

The fourth proportional to 291,711.76, 437,641.44 and 81,349.72 is: 122,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,711.76 : 437,641.44 = 81,349.72 : x
  2. Step 2: Convert to fraction form
    291,711.76/437,641.44 = 81,349.72/x
  3. Step 3: Cross multiply
    291,711.76x = 437,641.44 × 81,349.72
  4. Step 4: Simplify right side
    291,711.76x = 35,602,008,604.40
  5. Step 5: Solve for x
    x = 35,602,008,604.40/291,711.76
  6. Step 6: Final answer
    x = 122,045.16

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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.