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Finding the Fourth Proportional to 392,578.20, 541,714.80 and 220,461.24

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Solution

The fourth proportional to 392,578.20, 541,714.80 and 220,461.24 is: 304,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,578.20 : 541,714.80 = 220,461.24 : x
  2. Step 2: Convert to fraction form
    392,578.20/541,714.80 = 220,461.24/x
  3. Step 3: Cross multiply
    392,578.20x = 541,714.80 × 220,461.24
  4. Step 4: Simplify right side
    392,578.20x = 119,427,116,534.35
  5. Step 5: Solve for x
    x = 119,427,116,534.35/392,578.20
  6. Step 6: Final answer
    x = 304,212.30

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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.