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Finding the Fourth Proportional to 265,073.85, 397,319.18 and 115,288.65

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Solution

The fourth proportional to 265,073.85, 397,319.18 and 115,288.65 is: 172,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,073.85 : 397,319.18 = 115,288.65 : x
  2. Step 2: Convert to fraction form
    265,073.85/397,319.18 = 115,288.65/x
  3. Step 3: Cross multiply
    265,073.85x = 397,319.18 × 115,288.65
  4. Step 4: Simplify right side
    265,073.85x = 45,806,391,304.86
  5. Step 5: Solve for x
    x = 45,806,391,304.86/265,073.85
  6. Step 6: Final answer
    x = 172,806.15

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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.