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Finding the Fourth Proportional to 279,841.57, 419,631.10 and 102,224.36

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Solution

The fourth proportional to 279,841.57, 419,631.10 and 102,224.36 is: 153,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,841.57 : 419,631.10 = 102,224.36 : x
  2. Step 2: Convert to fraction form
    279,841.57/419,631.10 = 102,224.36/x
  3. Step 3: Cross multiply
    279,841.57x = 419,631.10 × 102,224.36
  4. Step 4: Simplify right side
    279,841.57x = 42,896,520,633.60
  5. Step 5: Solve for x
    x = 42,896,520,633.60/279,841.57
  6. Step 6: Final answer
    x = 153,288.59

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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.