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Finding the Fourth Proportional to 259,693.20, 389,592.45 and 147,427.20

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Solution

The fourth proportional to 259,693.20, 389,592.45 and 147,427.20 is: 221,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,693.20 : 389,592.45 = 147,427.20 : x
  2. Step 2: Convert to fraction form
    259,693.20/389,592.45 = 147,427.20/x
  3. Step 3: Cross multiply
    259,693.20x = 389,592.45 × 147,427.20
  4. Step 4: Simplify right side
    259,693.20x = 57,436,524,044.64
  5. Step 5: Solve for x
    x = 57,436,524,044.64/259,693.20
  6. Step 6: Final answer
    x = 221,170.69

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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.