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Finding the Fourth Proportional to 442,578.87, 663,275.34 and 414,235.35

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Solution

The fourth proportional to 442,578.87, 663,275.34 and 414,235.35 is: 620,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,578.87 : 663,275.34 = 414,235.35 : x
  2. Step 2: Convert to fraction form
    442,578.87/663,275.34 = 414,235.35/x
  3. Step 3: Cross multiply
    442,578.87x = 663,275.34 × 414,235.35
  4. Step 4: Simplify right side
    442,578.87x = 274,752,092,611.27
  5. Step 5: Solve for x
    x = 274,752,092,611.27/442,578.87
  6. Step 6: Final answer
    x = 620,798.03

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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.