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Finding the Fourth Proportional to 266,714.40, 400,071.60 and 108,839.20

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Solution

The fourth proportional to 266,714.40, 400,071.60 and 108,839.20 is: 163,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,714.40 : 400,071.60 = 108,839.20 : x
  2. Step 2: Convert to fraction form
    266,714.40/400,071.60 = 108,839.20/x
  3. Step 3: Cross multiply
    266,714.40x = 400,071.60 × 108,839.20
  4. Step 4: Simplify right side
    266,714.40x = 43,543,472,886.72
  5. Step 5: Solve for x
    x = 43,543,472,886.72/266,714.40
  6. Step 6: Final answer
    x = 163,258.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.