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Finding the Fourth Proportional to 276,894.30, 382,114.26 and 149,569.86

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Solution

The fourth proportional to 276,894.30, 382,114.26 and 149,569.86 is: 206,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,894.30 : 382,114.26 = 149,569.86 : x
  2. Step 2: Convert to fraction form
    276,894.30/382,114.26 = 149,569.86/x
  3. Step 3: Cross multiply
    276,894.30x = 382,114.26 × 149,569.86
  4. Step 4: Simplify right side
    276,894.30x = 57,152,776,372.20
  5. Step 5: Solve for x
    x = 57,152,776,372.20/276,894.30
  6. Step 6: Final answer
    x = 206,406.47

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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.