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Finding the Fourth Proportional to 279,609.63, 419,158.14 and 108,946.47

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Solution

The fourth proportional to 279,609.63, 419,158.14 and 108,946.47 is: 163,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,609.63 : 419,158.14 = 108,946.47 : x
  2. Step 2: Convert to fraction form
    279,609.63/419,158.14 = 108,946.47/x
  3. Step 3: Cross multiply
    279,609.63x = 419,158.14 × 108,946.47
  4. Step 4: Simplify right side
    279,609.63x = 45,665,799,724.77
  5. Step 5: Solve for x
    x = 45,665,799,724.77/279,609.63
  6. Step 6: Final answer
    x = 163,319.84

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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.