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Finding the Fourth Proportional to 280,951.40, 421,374.78 and 81,222.38

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Solution

The fourth proportional to 280,951.40, 421,374.78 and 81,222.38 is: 121,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,951.40 : 421,374.78 = 81,222.38 : x
  2. Step 2: Convert to fraction form
    280,951.40/421,374.78 = 81,222.38/x
  3. Step 3: Cross multiply
    280,951.40x = 421,374.78 × 81,222.38
  4. Step 4: Simplify right side
    280,951.40x = 34,225,062,503.58
  5. Step 5: Solve for x
    x = 34,225,062,503.58/280,951.40
  6. Step 6: Final answer
    x = 121,818.44

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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.