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Finding the Fourth Proportional to 265,009.86, 397,517.15 and 75,470.08

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Solution

The fourth proportional to 265,009.86, 397,517.15 and 75,470.08 is: 113,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,009.86 : 397,517.15 = 75,470.08 : x
  2. Step 2: Convert to fraction form
    265,009.86/397,517.15 = 75,470.08/x
  3. Step 3: Cross multiply
    265,009.86x = 397,517.15 × 75,470.08
  4. Step 4: Simplify right side
    265,009.86x = 30,000,651,111.87
  5. Step 5: Solve for x
    x = 30,000,651,111.87/265,009.86
  6. Step 6: Final answer
    x = 113,205.79

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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.