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Finding the Fourth Proportional to 260,512.90, 390,672.15 and 102,708.70

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Solution

The fourth proportional to 260,512.90, 390,672.15 and 102,708.70 is: 154,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,512.90 : 390,672.15 = 102,708.70 : x
  2. Step 2: Convert to fraction form
    260,512.90/390,672.15 = 102,708.70/x
  3. Step 3: Cross multiply
    260,512.90x = 390,672.15 × 102,708.70
  4. Step 4: Simplify right side
    260,512.90x = 40,125,428,652.71
  5. Step 5: Solve for x
    x = 40,125,428,652.71/260,512.90
  6. Step 6: Final answer
    x = 154,024.73

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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.