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Finding the Fourth Proportional to 441,084.90, 661,632.45 and 419,572.98

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Solution

The fourth proportional to 441,084.90, 661,632.45 and 419,572.98 is: 629,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,084.90 : 661,632.45 = 419,572.98 : x
  2. Step 2: Convert to fraction form
    441,084.90/661,632.45 = 419,572.98/x
  3. Step 3: Cross multiply
    441,084.90x = 661,632.45 × 419,572.98
  4. Step 4: Simplify right side
    441,084.90x = 277,603,098,711.20
  5. Step 5: Solve for x
    x = 277,603,098,711.20/441,084.90
  6. Step 6: Final answer
    x = 629,364.32

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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.