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Finding the Fourth Proportional to 265,207.89, 397,848.50 and 85,298.41

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Solution

The fourth proportional to 265,207.89, 397,848.50 and 85,298.41 is: 127,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,207.89 : 397,848.50 = 85,298.41 : x
  2. Step 2: Convert to fraction form
    265,207.89/397,848.50 = 85,298.41/x
  3. Step 3: Cross multiply
    265,207.89x = 397,848.50 × 85,298.41
  4. Step 4: Simplify right side
    265,207.89x = 33,935,844,470.89
  5. Step 5: Solve for x
    x = 33,935,844,470.89/265,207.89
  6. Step 6: Final answer
    x = 127,959.41

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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.