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Finding the Fourth Proportional to 287,668.97, 431,627.90 and 154,393.53

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Solution

The fourth proportional to 287,668.97, 431,627.90 and 154,393.53 is: 231,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,668.97 : 431,627.90 = 154,393.53 : x
  2. Step 2: Convert to fraction form
    287,668.97/431,627.90 = 154,393.53/x
  3. Step 3: Cross multiply
    287,668.97x = 431,627.90 × 154,393.53
  4. Step 4: Simplify right side
    287,668.97x = 66,640,552,736.91
  5. Step 5: Solve for x
    x = 66,640,552,736.91/287,668.97
  6. Step 6: Final answer
    x = 231,657.08

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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.