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Finding the Fourth Proportional to 287,687.40, 396,999.42 and 180,315.40

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Solution

The fourth proportional to 287,687.40, 396,999.42 and 180,315.40 is: 248,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,687.40 : 396,999.42 = 180,315.40 : x
  2. Step 2: Convert to fraction form
    287,687.40/396,999.42 = 180,315.40/x
  3. Step 3: Cross multiply
    287,687.40x = 396,999.42 × 180,315.40
  4. Step 4: Simplify right side
    287,687.40x = 71,585,109,217.07
  5. Step 5: Solve for x
    x = 71,585,109,217.07/287,687.40
  6. Step 6: Final answer
    x = 248,829.49

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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.