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Finding the Fourth Proportional to 278,703.10, 417,811.65 and 189,667.90

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Solution

The fourth proportional to 278,703.10, 417,811.65 and 189,667.90 is: 284,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,703.10 : 417,811.65 = 189,667.90 : x
  2. Step 2: Convert to fraction form
    278,703.10/417,811.65 = 189,667.90/x
  3. Step 3: Cross multiply
    278,703.10x = 417,811.65 × 189,667.90
  4. Step 4: Simplify right side
    278,703.10x = 79,245,458,251.04
  5. Step 5: Solve for x
    x = 79,245,458,251.04/278,703.10
  6. Step 6: Final answer
    x = 284,336.48

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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.