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Finding the Fourth Proportional to 253,714.02, 380,541.87 and 85,227.54

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Solution

The fourth proportional to 253,714.02, 380,541.87 and 85,227.54 is: 127,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,714.02 : 380,541.87 = 85,227.54 : x
  2. Step 2: Convert to fraction form
    253,714.02/380,541.87 = 85,227.54/x
  3. Step 3: Cross multiply
    253,714.02x = 380,541.87 × 85,227.54
  4. Step 4: Simplify right side
    253,714.02x = 32,432,647,447.10
  5. Step 5: Solve for x
    x = 32,432,647,447.10/253,714.02
  6. Step 6: Final answer
    x = 127,831.51

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1.5x scale

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.