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Finding the Fourth Proportional to 471,520.40, 707,451.12 and 291,395

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Solution

The fourth proportional to 471,520.40, 707,451.12 and 291,395 is: 437,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,520.40 : 707,451.12 = 291,395 : x
  2. Step 2: Convert to fraction form
    471,520.40/707,451.12 = 291,395/x
  3. Step 3: Cross multiply
    471,520.40x = 707,451.12 × 291,395
  4. Step 4: Simplify right side
    471,520.40x = 206,147,719,112.40
  5. Step 5: Solve for x
    x = 206,147,719,112.40/471,520.40
  6. Step 6: Final answer
    x = 437,197.88

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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.