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Finding the Fourth Proportional to 287,686.74, 396,845.12 and 180,069.92

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Solution

The fourth proportional to 287,686.74, 396,845.12 and 180,069.92 is: 248,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,686.74 : 396,845.12 = 180,069.92 : x
  2. Step 2: Convert to fraction form
    287,686.74/396,845.12 = 180,069.92/x
  3. Step 3: Cross multiply
    287,686.74x = 396,845.12 × 180,069.92
  4. Step 4: Simplify right side
    287,686.74x = 71,459,869,010.79
  5. Step 5: Solve for x
    x = 71,459,869,010.79/287,686.74
  6. Step 6: Final answer
    x = 248,394.73

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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.