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Finding the Fourth Proportional to 280,967.78, 421,515.18 and 81,304.22

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Solution

The fourth proportional to 280,967.78, 421,515.18 and 81,304.22 is: 121,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,967.78 : 421,515.18 = 81,304.22 : x
  2. Step 2: Convert to fraction form
    280,967.78/421,515.18 = 81,304.22/x
  3. Step 3: Cross multiply
    280,967.78x = 421,515.18 × 81,304.22
  4. Step 4: Simplify right side
    280,967.78x = 34,270,962,928.06
  5. Step 5: Solve for x
    x = 34,270,962,928.06/280,967.78
  6. Step 6: Final answer
    x = 121,974.71

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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.