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Finding the Fourth Proportional to 278,092.67, 416,817.70 and 128,018.30

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Solution

The fourth proportional to 278,092.67, 416,817.70 and 128,018.30 is: 191,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,092.67 : 416,817.70 = 128,018.30 : x
  2. Step 2: Convert to fraction form
    278,092.67/416,817.70 = 128,018.30/x
  3. Step 3: Cross multiply
    278,092.67x = 416,817.70 × 128,018.30
  4. Step 4: Simplify right side
    278,092.67x = 53,360,290,959.78
  5. Step 5: Solve for x
    x = 53,360,290,959.78/278,092.67
  6. Step 6: Final answer
    x = 191,879.53

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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.