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Finding the Fourth Proportional to 266,663.28, 400,142.52 and 159,784.68

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Solution

The fourth proportional to 266,663.28, 400,142.52 and 159,784.68 is: 239,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,663.28 : 400,142.52 = 159,784.68 : x
  2. Step 2: Convert to fraction form
    266,663.28/400,142.52 = 159,784.68/x
  3. Step 3: Cross multiply
    266,663.28x = 400,142.52 × 159,784.68
  4. Step 4: Simplify right side
    266,663.28x = 63,936,644,512.59
  5. Step 5: Solve for x
    x = 63,936,644,512.59/266,663.28
  6. Step 6: Final answer
    x = 239,765.46

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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.