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Finding the Fourth Proportional to 289,687.80, 434,531.70 and 123,454.20

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Solution

The fourth proportional to 289,687.80, 434,531.70 and 123,454.20 is: 185,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,687.80 : 434,531.70 = 123,454.20 : x
  2. Step 2: Convert to fraction form
    289,687.80/434,531.70 = 123,454.20/x
  3. Step 3: Cross multiply
    289,687.80x = 434,531.70 × 123,454.20
  4. Step 4: Simplify right side
    289,687.80x = 53,644,763,398.14
  5. Step 5: Solve for x
    x = 53,644,763,398.14/289,687.80
  6. Step 6: Final answer
    x = 185,181.30

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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.