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Finding the Fourth Proportional to 274,818.31, 412,266.59 and 85,295.05

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Solution

The fourth proportional to 274,818.31, 412,266.59 and 85,295.05 is: 127,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,818.31 : 412,266.59 = 85,295.05 : x
  2. Step 2: Convert to fraction form
    274,818.31/412,266.59 = 85,295.05/x
  3. Step 3: Cross multiply
    274,818.31x = 412,266.59 × 85,295.05
  4. Step 4: Simplify right side
    274,818.31x = 35,164,298,980.90
  5. Step 5: Solve for x
    x = 35,164,298,980.90/274,818.31
  6. Step 6: Final answer
    x = 127,954.72

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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.