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Finding the Fourth Proportional to 489,361.40, 734,042.10 and 414,711.80

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Solution

The fourth proportional to 489,361.40, 734,042.10 and 414,711.80 is: 622,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,361.40 : 734,042.10 = 414,711.80 : x
  2. Step 2: Convert to fraction form
    489,361.40/734,042.10 = 414,711.80/x
  3. Step 3: Cross multiply
    489,361.40x = 734,042.10 × 414,711.80
  4. Step 4: Simplify right side
    489,361.40x = 304,415,920,566.78
  5. Step 5: Solve for x
    x = 304,415,920,566.78/489,361.40
  6. Step 6: Final answer
    x = 622,067.70

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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.