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Finding the Fourth Proportional to 266,138.40, 399,207.60 and 108,285.60

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Solution

The fourth proportional to 266,138.40, 399,207.60 and 108,285.60 is: 162,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,138.40 : 399,207.60 = 108,285.60 : x
  2. Step 2: Convert to fraction form
    266,138.40/399,207.60 = 108,285.60/x
  3. Step 3: Cross multiply
    266,138.40x = 399,207.60 × 108,285.60
  4. Step 4: Simplify right side
    266,138.40x = 43,228,434,490.56
  5. Step 5: Solve for x
    x = 43,228,434,490.56/266,138.40
  6. Step 6: Final answer
    x = 162,428.40

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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.