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Finding the Fourth Proportional to 279,977.54, 420,025.85 and 90,448.78

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Solution

The fourth proportional to 279,977.54, 420,025.85 and 90,448.78 is: 135,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,977.54 : 420,025.85 = 90,448.78 : x
  2. Step 2: Convert to fraction form
    279,977.54/420,025.85 = 90,448.78/x
  3. Step 3: Cross multiply
    279,977.54x = 420,025.85 × 90,448.78
  4. Step 4: Simplify right side
    279,977.54x = 37,990,825,700.96
  5. Step 5: Solve for x
    x = 37,990,825,700.96/279,977.54
  6. Step 6: Final answer
    x = 135,692.40

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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.