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Finding the Fourth Proportional to 278,168.28, 417,423.73 and 109,659.93

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Solution

The fourth proportional to 278,168.28, 417,423.73 and 109,659.93 is: 164,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,168.28 : 417,423.73 = 109,659.93 : x
  2. Step 2: Convert to fraction form
    278,168.28/417,423.73 = 109,659.93/x
  3. Step 3: Cross multiply
    278,168.28x = 417,423.73 × 109,659.93
  4. Step 4: Simplify right side
    278,168.28x = 45,774,657,012.14
  5. Step 5: Solve for x
    x = 45,774,657,012.14/278,168.28
  6. Step 6: Final answer
    x = 164,557.43

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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.