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Finding the Fourth Proportional to 278,093.67, 416,819.20 and 128,019.30

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Solution

The fourth proportional to 278,093.67, 416,819.20 and 128,019.30 is: 191,881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,093.67 : 416,819.20 = 128,019.30 : x
  2. Step 2: Convert to fraction form
    278,093.67/416,819.20 = 128,019.30/x
  3. Step 3: Cross multiply
    278,093.67x = 416,819.20 × 128,019.30
  4. Step 4: Simplify right side
    278,093.67x = 53,360,902,210.56
  5. Step 5: Solve for x
    x = 53,360,902,210.56/278,093.67
  6. Step 6: Final answer
    x = 191,881.04

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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.