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Finding the Fourth Proportional to 266,943.60, 400,642.20 and 109,285.20

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Solution

The fourth proportional to 266,943.60, 400,642.20 and 109,285.20 is: 164,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,943.60 : 400,642.20 = 109,285.20 : x
  2. Step 2: Convert to fraction form
    266,943.60/400,642.20 = 109,285.20/x
  3. Step 3: Cross multiply
    266,943.60x = 400,642.20 × 109,285.20
  4. Step 4: Simplify right side
    266,943.60x = 43,784,262,955.44
  5. Step 5: Solve for x
    x = 43,784,262,955.44/266,943.60
  6. Step 6: Final answer
    x = 164,020.65

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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.