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Finding the Fourth Proportional to 280,657.89, 421,052.58 and 191,953.17

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Solution

The fourth proportional to 280,657.89, 421,052.58 and 191,953.17 is: 287,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,657.89 : 421,052.58 = 191,953.17 : x
  2. Step 2: Convert to fraction form
    280,657.89/421,052.58 = 191,953.17/x
  3. Step 3: Cross multiply
    280,657.89x = 421,052.58 × 191,953.17
  4. Step 4: Simplify right side
    280,657.89x = 80,822,377,467.68
  5. Step 5: Solve for x
    x = 80,822,377,467.68/280,657.89
  6. Step 6: Final answer
    x = 287,974.72

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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.