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Finding the Fourth Proportional to 265,735.27, 398,565.51 and 76,211.88

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Solution

The fourth proportional to 265,735.27, 398,565.51 and 76,211.88 is: 114,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,735.27 : 398,565.51 = 76,211.88 : x
  2. Step 2: Convert to fraction form
    265,735.27/398,565.51 = 76,211.88/x
  3. Step 3: Cross multiply
    265,735.27x = 398,565.51 × 76,211.88
  4. Step 4: Simplify right side
    265,735.27x = 30,375,426,820.26
  5. Step 5: Solve for x
    x = 30,375,426,820.26/265,735.27
  6. Step 6: Final answer
    x = 114,307.10

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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.