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Finding the Fourth Proportional to 392,523.32, 541,680.63 and 220,417.34

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Solution

The fourth proportional to 392,523.32, 541,680.63 and 220,417.34 is: 304,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,523.32 : 541,680.63 = 220,417.34 : x
  2. Step 2: Convert to fraction form
    392,523.32/541,680.63 = 220,417.34/x
  3. Step 3: Cross multiply
    392,523.32x = 541,680.63 × 220,417.34
  4. Step 4: Simplify right side
    392,523.32x = 119,395,803,594.12
  5. Step 5: Solve for x
    x = 119,395,803,594.12/392,523.32
  6. Step 6: Final answer
    x = 304,175.06

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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.