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Finding the Fourth Proportional to 442,998.20, 664,497.30 and 380,790.20

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Solution

The fourth proportional to 442,998.20, 664,497.30 and 380,790.20 is: 571,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,998.20 : 664,497.30 = 380,790.20 : x
  2. Step 2: Convert to fraction form
    442,998.20/664,497.30 = 380,790.20/x
  3. Step 3: Cross multiply
    442,998.20x = 664,497.30 × 380,790.20
  4. Step 4: Simplify right side
    442,998.20x = 253,034,059,766.46
  5. Step 5: Solve for x
    x = 253,034,059,766.46/442,998.20
  6. Step 6: Final answer
    x = 571,185.30

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1.5x scale

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.