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Finding the Fourth Proportional to 971,722.26, 1,340,978.76 and 541,991.34

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Solution

The fourth proportional to 971,722.26, 1,340,978.76 and 541,991.34 is: 747,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,722.26 : 1,340,978.76 = 541,991.34 : x
  2. Step 2: Convert to fraction form
    971,722.26/1,340,978.76 = 541,991.34/x
  3. Step 3: Cross multiply
    971,722.26x = 1,340,978.76 × 541,991.34
  4. Step 4: Simplify right side
    971,722.26x = 726,798,875,043.94
  5. Step 5: Solve for x
    x = 726,798,875,043.94/971,722.26
  6. Step 6: Final answer
    x = 747,949.19

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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.