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Finding the Fourth Proportional to 412,937.26, 618,987.56 and 279,830.98

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Solution

The fourth proportional to 412,937.26, 618,987.56 and 279,830.98 is: 419,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,937.26 : 618,987.56 = 279,830.98 : x
  2. Step 2: Convert to fraction form
    412,937.26/618,987.56 = 279,830.98/x
  3. Step 3: Cross multiply
    412,937.26x = 618,987.56 × 279,830.98
  4. Step 4: Simplify right side
    412,937.26x = 173,211,895,522.61
  5. Step 5: Solve for x
    x = 173,211,895,522.61/412,937.26
  6. Step 6: Final answer
    x = 419,462.98

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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.