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Finding the Fourth Proportional to 278,744.16, 384,670.56 and 151,422

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Solution

The fourth proportional to 278,744.16, 384,670.56 and 151,422 is: 208,964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,744.16 : 384,670.56 = 151,422 : x
  2. Step 2: Convert to fraction form
    278,744.16/384,670.56 = 151,422/x
  3. Step 3: Cross multiply
    278,744.16x = 384,670.56 × 151,422
  4. Step 4: Simplify right side
    278,744.16x = 58,247,585,536.32
  5. Step 5: Solve for x
    x = 58,247,585,536.32/278,744.16
  6. Step 6: Final answer
    x = 208,964.33

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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.