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Finding the Fourth Proportional to 291,678.28, 437,538.86 and 104,691.40

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Solution

The fourth proportional to 291,678.28, 437,538.86 and 104,691.40 is: 157,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,678.28 : 437,538.86 = 104,691.40 : x
  2. Step 2: Convert to fraction form
    291,678.28/437,538.86 = 104,691.40/x
  3. Step 3: Cross multiply
    291,678.28x = 437,538.86 × 104,691.40
  4. Step 4: Simplify right side
    291,678.28x = 45,806,555,807.80
  5. Step 5: Solve for x
    x = 45,806,555,807.80/291,678.28
  6. Step 6: Final answer
    x = 157,044.80

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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.