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Finding the Fourth Proportional to 278,480.97, 384,304.05 and 151,156.53

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Solution

The fourth proportional to 278,480.97, 384,304.05 and 151,156.53 is: 208,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,480.97 : 384,304.05 = 151,156.53 : x
  2. Step 2: Convert to fraction form
    278,480.97/384,304.05 = 151,156.53/x
  3. Step 3: Cross multiply
    278,480.97x = 384,304.05 × 151,156.53
  4. Step 4: Simplify right side
    278,480.97x = 58,090,066,662.95
  5. Step 5: Solve for x
    x = 58,090,066,662.95/278,480.97
  6. Step 6: Final answer
    x = 208,596.18

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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.