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Finding the Fourth Proportional to 265,889.48, 398,714.06 and 76,306.66

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Solution

The fourth proportional to 265,889.48, 398,714.06 and 76,306.66 is: 114,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,889.48 : 398,714.06 = 76,306.66 : x
  2. Step 2: Convert to fraction form
    265,889.48/398,714.06 = 76,306.66/x
  3. Step 3: Cross multiply
    265,889.48x = 398,714.06 × 76,306.66
  4. Step 4: Simplify right side
    265,889.48x = 30,424,538,213.64
  5. Step 5: Solve for x
    x = 30,424,538,213.64/265,889.48
  6. Step 6: Final answer
    x = 114,425.51

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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.