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Finding the Fourth Proportional to 260,882.91, 390,612.87 and 197,511.30

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Solution

The fourth proportional to 260,882.91, 390,612.87 and 197,511.30 is: 295,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,882.91 : 390,612.87 = 197,511.30 : x
  2. Step 2: Convert to fraction form
    260,882.91/390,612.87 = 197,511.30/x
  3. Step 3: Cross multiply
    260,882.91x = 390,612.87 × 197,511.30
  4. Step 4: Simplify right side
    260,882.91x = 77,150,455,750.43
  5. Step 5: Solve for x
    x = 77,150,455,750.43/260,882.91
  6. Step 6: Final answer
    x = 295,728.29

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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.