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Finding the Fourth Proportional to 266,029.20, 398,719.80 and 115,952.40

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Solution

The fourth proportional to 266,029.20, 398,719.80 and 115,952.40 is: 173,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,029.20 : 398,719.80 = 115,952.40 : x
  2. Step 2: Convert to fraction form
    266,029.20/398,719.80 = 115,952.40/x
  3. Step 3: Cross multiply
    266,029.20x = 398,719.80 × 115,952.40
  4. Step 4: Simplify right side
    266,029.20x = 46,232,517,737.52
  5. Step 5: Solve for x
    x = 46,232,517,737.52/266,029.20
  6. Step 6: Final answer
    x = 173,787.38

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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.