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Finding the Fourth Proportional to 265,288.51, 397,948.34 and 75,734.30

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Solution

The fourth proportional to 265,288.51, 397,948.34 and 75,734.30 is: 113,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,288.51 : 397,948.34 = 75,734.30 : x
  2. Step 2: Convert to fraction form
    265,288.51/397,948.34 = 75,734.30/x
  3. Step 3: Cross multiply
    265,288.51x = 397,948.34 × 75,734.30
  4. Step 4: Simplify right side
    265,288.51x = 30,138,340,150.27
  5. Step 5: Solve for x
    x = 30,138,340,150.27/265,288.51
  6. Step 6: Final answer
    x = 113,605.90

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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.