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Finding the Fourth Proportional to 547,381.14, 755,171.46 and 317,899.20

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Solution

The fourth proportional to 547,381.14, 755,171.46 and 317,899.20 is: 438,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,381.14 : 755,171.46 = 317,899.20 : x
  2. Step 2: Convert to fraction form
    547,381.14/755,171.46 = 317,899.20/x
  3. Step 3: Cross multiply
    547,381.14x = 755,171.46 × 317,899.20
  4. Step 4: Simplify right side
    547,381.14x = 240,068,402,996.83
  5. Step 5: Solve for x
    x = 240,068,402,996.83/547,381.14
  6. Step 6: Final answer
    x = 438,576.31

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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.