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Finding the Fourth Proportional to 266,207.12, 399,405.72 and 114,340.40

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Solution

The fourth proportional to 266,207.12, 399,405.72 and 114,340.40 is: 171,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,207.12 : 399,405.72 = 114,340.40 : x
  2. Step 2: Convert to fraction form
    266,207.12/399,405.72 = 114,340.40/x
  3. Step 3: Cross multiply
    266,207.12x = 399,405.72 × 114,340.40
  4. Step 4: Simplify right side
    266,207.12x = 45,668,209,787.09
  5. Step 5: Solve for x
    x = 45,668,209,787.09/266,207.12
  6. Step 6: Final answer
    x = 171,551.42

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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.