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Finding the Fourth Proportional to 278,674.64, 418,155.96 and 138,430.16

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Solution

The fourth proportional to 278,674.64, 418,155.96 and 138,430.16 is: 207,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,674.64 : 418,155.96 = 138,430.16 : x
  2. Step 2: Convert to fraction form
    278,674.64/418,155.96 = 138,430.16/x
  3. Step 3: Cross multiply
    278,674.64x = 418,155.96 × 138,430.16
  4. Step 4: Simplify right side
    278,674.64x = 57,885,396,447.75
  5. Step 5: Solve for x
    x = 57,885,396,447.75/278,674.64
  6. Step 6: Final answer
    x = 207,716.77

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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.