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Finding the Fourth Proportional to 265,002.60, 397,358.10 and 115,217.40

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Solution

The fourth proportional to 265,002.60, 397,358.10 and 115,217.40 is: 172,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,002.60 : 397,358.10 = 115,217.40 : x
  2. Step 2: Convert to fraction form
    265,002.60/397,358.10 = 115,217.40/x
  3. Step 3: Cross multiply
    265,002.60x = 397,358.10 × 115,217.40
  4. Step 4: Simplify right side
    265,002.60x = 45,782,567,150.94
  5. Step 5: Solve for x
    x = 45,782,567,150.94/265,002.60
  6. Step 6: Final answer
    x = 172,762.71

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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.