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Finding the Fourth Proportional to 541,838.70, 747,758.21 and 300,116.12

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Solution

The fourth proportional to 541,838.70, 747,758.21 and 300,116.12 is: 414,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,838.70 : 747,758.21 = 300,116.12 : x
  2. Step 2: Convert to fraction form
    541,838.70/747,758.21 = 300,116.12/x
  3. Step 3: Cross multiply
    541,838.70x = 747,758.21 × 300,116.12
  4. Step 4: Simplify right side
    541,838.70x = 224,414,287,443.97
  5. Step 5: Solve for x
    x = 224,414,287,443.97/541,838.70
  6. Step 6: Final answer
    x = 414,171.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.