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Finding the Fourth Proportional to 278,471.52, 384,292 and 151,147.12

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Solution

The fourth proportional to 278,471.52, 384,292 and 151,147.12 is: 208,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,471.52 : 384,292 = 151,147.12 : x
  2. Step 2: Convert to fraction form
    278,471.52/384,292 = 151,147.12/x
  3. Step 3: Cross multiply
    278,471.52x = 384,292 × 151,147.12
  4. Step 4: Simplify right side
    278,471.52x = 58,084,629,039.04
  5. Step 5: Solve for x
    x = 58,084,629,039.04/278,471.52
  6. Step 6: Final answer
    x = 208,583.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.