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Finding the Fourth Proportional to 442,720.20, 664,166.70 and 190,000.20

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Solution

The fourth proportional to 442,720.20, 664,166.70 and 190,000.20 is: 285,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,720.20 : 664,166.70 = 190,000.20 : x
  2. Step 2: Convert to fraction form
    442,720.20/664,166.70 = 190,000.20/x
  3. Step 3: Cross multiply
    442,720.20x = 664,166.70 × 190,000.20
  4. Step 4: Simplify right side
    442,720.20x = 126,191,805,833.34
  5. Step 5: Solve for x
    x = 126,191,805,833.34/442,720.20
  6. Step 6: Final answer
    x = 285,037.38

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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.