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Finding the Fourth Proportional to 384,959.92, 531,256.44 and 215,201.20

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Solution

The fourth proportional to 384,959.92, 531,256.44 and 215,201.20 is: 296,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,959.92 : 531,256.44 = 215,201.20 : x
  2. Step 2: Convert to fraction form
    384,959.92/531,256.44 = 215,201.20/x
  3. Step 3: Cross multiply
    384,959.92x = 531,256.44 × 215,201.20
  4. Step 4: Simplify right side
    384,959.92x = 114,327,023,395.73
  5. Step 5: Solve for x
    x = 114,327,023,395.73/384,959.92
  6. Step 6: Final answer
    x = 296,984.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.