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Finding the Fourth Proportional to 268,454.46, 402,681.78 and 78,914.82

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Solution

The fourth proportional to 268,454.46, 402,681.78 and 78,914.82 is: 118,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,454.46 : 402,681.78 = 78,914.82 : x
  2. Step 2: Convert to fraction form
    268,454.46/402,681.78 = 78,914.82/x
  3. Step 3: Cross multiply
    268,454.46x = 402,681.78 × 78,914.82
  4. Step 4: Simplify right side
    268,454.46x = 31,777,560,185.98
  5. Step 5: Solve for x
    x = 31,777,560,185.98/268,454.46
  6. Step 6: Final answer
    x = 118,372.26

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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.