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Finding the Fourth Proportional to 408,944.88, 611,708.73 and 287,356.90

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Solution

The fourth proportional to 408,944.88, 611,708.73 and 287,356.90 is: 429,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,944.88 : 611,708.73 = 287,356.90 : x
  2. Step 2: Convert to fraction form
    408,944.88/611,708.73 = 287,356.90/x
  3. Step 3: Cross multiply
    408,944.88x = 611,708.73 × 287,356.90
  4. Step 4: Simplify right side
    408,944.88x = 175,778,724,355.74
  5. Step 5: Solve for x
    x = 175,778,724,355.74/408,944.88
  6. Step 6: Final answer
    x = 429,834.76

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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.