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Finding the Fourth Proportional to 442,198.16, 663,294.72 and 126,655.16

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Solution

The fourth proportional to 442,198.16, 663,294.72 and 126,655.16 is: 189,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,198.16 : 663,294.72 = 126,655.16 : x
  2. Step 2: Convert to fraction form
    442,198.16/663,294.72 = 126,655.16/x
  3. Step 3: Cross multiply
    442,198.16x = 663,294.72 × 126,655.16
  4. Step 4: Simplify right side
    442,198.16x = 84,009,698,888.76
  5. Step 5: Solve for x
    x = 84,009,698,888.76/442,198.16
  6. Step 6: Final answer
    x = 189,982.02

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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.