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Finding the Fourth Proportional to 278,473.54, 384,294.22 and 151,149.14

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Solution

The fourth proportional to 278,473.54, 384,294.22 and 151,149.14 is: 208,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,473.54 : 384,294.22 = 151,149.14 : x
  2. Step 2: Convert to fraction form
    278,473.54/384,294.22 = 151,149.14/x
  3. Step 3: Cross multiply
    278,473.54x = 384,294.22 × 151,149.14
  4. Step 4: Simplify right side
    278,473.54x = 58,085,740,859.97
  5. Step 5: Solve for x
    x = 58,085,740,859.97/278,473.54
  6. Step 6: Final answer
    x = 208,586.21

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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.