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Finding the Fourth Proportional to 280,852.30, 421,278.45 and 93,863.80

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Solution

The fourth proportional to 280,852.30, 421,278.45 and 93,863.80 is: 140,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,852.30 : 421,278.45 = 93,863.80 : x
  2. Step 2: Convert to fraction form
    280,852.30/421,278.45 = 93,863.80/x
  3. Step 3: Cross multiply
    280,852.30x = 421,278.45 × 93,863.80
  4. Step 4: Simplify right side
    280,852.30x = 39,542,796,175.11
  5. Step 5: Solve for x
    x = 39,542,796,175.11/280,852.30
  6. Step 6: Final answer
    x = 140,795.70

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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.