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Finding the Fourth Proportional to 260,565.14, 390,788.87 and 132,351.57

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Solution

The fourth proportional to 260,565.14, 390,788.87 and 132,351.57 is: 198,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,565.14 : 390,788.87 = 132,351.57 : x
  2. Step 2: Convert to fraction form
    260,565.14/390,788.87 = 132,351.57/x
  3. Step 3: Cross multiply
    260,565.14x = 390,788.87 × 132,351.57
  4. Step 4: Simplify right side
    260,565.14x = 51,721,520,483.03
  5. Step 5: Solve for x
    x = 51,721,520,483.03/260,565.14
  6. Step 6: Final answer
    x = 198,497.47

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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.