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Finding the Fourth Proportional to 278,675.64, 418,157.46 and 138,431.16

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Solution

The fourth proportional to 278,675.64, 418,157.46 and 138,431.16 is: 207,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,675.64 : 418,157.46 = 138,431.16 : x
  2. Step 2: Convert to fraction form
    278,675.64/418,157.46 = 138,431.16/x
  3. Step 3: Cross multiply
    278,675.64x = 418,157.46 × 138,431.16
  4. Step 4: Simplify right side
    278,675.64x = 57,886,022,250.45
  5. Step 5: Solve for x
    x = 57,886,022,250.45/278,675.64
  6. Step 6: Final answer
    x = 207,718.27

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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.