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Finding the Fourth Proportional to 208,414.46, 312,557.84 and 75,278.30

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Solution

The fourth proportional to 208,414.46, 312,557.84 and 75,278.30 is: 112,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,414.46 : 312,557.84 = 75,278.30 : x
  2. Step 2: Convert to fraction form
    208,414.46/312,557.84 = 75,278.30/x
  3. Step 3: Cross multiply
    208,414.46x = 312,557.84 × 75,278.30
  4. Step 4: Simplify right side
    208,414.46x = 23,528,821,472.28
  5. Step 5: Solve for x
    x = 23,528,821,472.28/208,414.46
  6. Step 6: Final answer
    x = 112,894.38

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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.