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Finding the Fourth Proportional to 291,909.08, 437,882.12 and 123,398

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Solution

The fourth proportional to 291,909.08, 437,882.12 and 123,398 is: 185,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,909.08 : 437,882.12 = 123,398 : x
  2. Step 2: Convert to fraction form
    291,909.08/437,882.12 = 123,398/x
  3. Step 3: Cross multiply
    291,909.08x = 437,882.12 × 123,398
  4. Step 4: Simplify right side
    291,909.08x = 54,033,777,226.77
  5. Step 5: Solve for x
    x = 54,033,777,226.77/291,909.08
  6. Step 6: Final answer
    x = 185,104.82

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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.