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Finding the Fourth Proportional to 453,383.20, 680,112.80 and 137,842.84

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Solution

The fourth proportional to 453,383.20, 680,112.80 and 137,842.84 is: 206,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,383.20 : 680,112.80 = 137,842.84 : x
  2. Step 2: Convert to fraction form
    453,383.20/680,112.80 = 137,842.84/x
  3. Step 3: Cross multiply
    453,383.20x = 680,112.80 × 137,842.84
  4. Step 4: Simplify right side
    453,383.20x = 93,748,679,872.35
  5. Step 5: Solve for x
    x = 93,748,679,872.35/453,383.20
  6. Step 6: Final answer
    x = 206,775.81

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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.