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Finding the Fourth Proportional to 442,267.80, 663,401.70 and 408,053.40

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Solution

The fourth proportional to 442,267.80, 663,401.70 and 408,053.40 is: 612,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,267.80 : 663,401.70 = 408,053.40 : x
  2. Step 2: Convert to fraction form
    442,267.80/663,401.70 = 408,053.40/x
  3. Step 3: Cross multiply
    442,267.80x = 663,401.70 × 408,053.40
  4. Step 4: Simplify right side
    442,267.80x = 270,703,319,250.78
  5. Step 5: Solve for x
    x = 270,703,319,250.78/442,267.80
  6. Step 6: Final answer
    x = 612,080.10

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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.