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Finding the Fourth Proportional to 281,459.20, 421,830.40 and 115,059.20

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Solution

The fourth proportional to 281,459.20, 421,830.40 and 115,059.20 is: 172,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,459.20 : 421,830.40 = 115,059.20 : x
  2. Step 2: Convert to fraction form
    281,459.20/421,830.40 = 115,059.20/x
  3. Step 3: Cross multiply
    281,459.20x = 421,830.40 × 115,059.20
  4. Step 4: Simplify right side
    281,459.20x = 48,535,468,359.68
  5. Step 5: Solve for x
    x = 48,535,468,359.68/281,459.20
  6. Step 6: Final answer
    x = 172,442.29

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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.