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Finding the Fourth Proportional to 278,081.20, 417,024.60 and 144,917.20

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Solution

The fourth proportional to 278,081.20, 417,024.60 and 144,917.20 is: 217,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,081.20 : 417,024.60 = 144,917.20 : x
  2. Step 2: Convert to fraction form
    278,081.20/417,024.60 = 144,917.20/x
  3. Step 3: Cross multiply
    278,081.20x = 417,024.60 × 144,917.20
  4. Step 4: Simplify right side
    278,081.20x = 60,434,037,363.12
  5. Step 5: Solve for x
    x = 60,434,037,363.12/278,081.20
  6. Step 6: Final answer
    x = 217,325.15

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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.