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Finding the Fourth Proportional to 291,882.36, 437,823.56 and 225,419.44

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Solution

The fourth proportional to 291,882.36, 437,823.56 and 225,419.44 is: 338,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,882.36 : 437,823.56 = 225,419.44 : x
  2. Step 2: Convert to fraction form
    291,882.36/437,823.56 = 225,419.44/x
  3. Step 3: Cross multiply
    291,882.36x = 437,823.56 × 225,419.44
  4. Step 4: Simplify right side
    291,882.36x = 98,693,941,714.01
  5. Step 5: Solve for x
    x = 98,693,941,714.01/291,882.36
  6. Step 6: Final answer
    x = 338,129.18

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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.