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Finding the Fourth Proportional to 280,677.66, 421,022.25 and 93,690.78

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Solution

The fourth proportional to 280,677.66, 421,022.25 and 93,690.78 is: 140,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,677.66 : 421,022.25 = 93,690.78 : x
  2. Step 2: Convert to fraction form
    280,677.66/421,022.25 = 93,690.78/x
  3. Step 3: Cross multiply
    280,677.66x = 421,022.25 × 93,690.78
  4. Step 4: Simplify right side
    280,677.66x = 39,445,902,999.86
  5. Step 5: Solve for x
    x = 39,445,902,999.86/280,677.66
  6. Step 6: Final answer
    x = 140,538.09

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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.