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Finding the Fourth Proportional to 278,168.64, 417,393.36 and 109,809.60

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Solution

The fourth proportional to 278,168.64, 417,393.36 and 109,809.60 is: 164,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,168.64 : 417,393.36 = 109,809.60 : x
  2. Step 2: Convert to fraction form
    278,168.64/417,393.36 = 109,809.60/x
  3. Step 3: Cross multiply
    278,168.64x = 417,393.36 × 109,809.60
  4. Step 4: Simplify right side
    278,168.64x = 45,833,797,904.26
  5. Step 5: Solve for x
    x = 45,833,797,904.26/278,168.64
  6. Step 6: Final answer
    x = 164,769.82

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1.5x scale

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.