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Finding the Fourth Proportional to 371,650.40, 512,868.92 and 216,591.76

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Solution

The fourth proportional to 371,650.40, 512,868.92 and 216,591.76 is: 298,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,650.40 : 512,868.92 = 216,591.76 : x
  2. Step 2: Convert to fraction form
    371,650.40/512,868.92 = 216,591.76/x
  3. Step 3: Cross multiply
    371,650.40x = 512,868.92 × 216,591.76
  4. Step 4: Simplify right side
    371,650.40x = 111,083,182,032.10
  5. Step 5: Solve for x
    x = 111,083,182,032.10/371,650.40
  6. Step 6: Final answer
    x = 298,891.60

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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.