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Finding the Fourth Proportional to 287,689.74, 396,849.26 and 180,072.92

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Solution

The fourth proportional to 287,689.74, 396,849.26 and 180,072.92 is: 248,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,689.74 : 396,849.26 = 180,072.92 : x
  2. Step 2: Convert to fraction form
    287,689.74/396,849.26 = 180,072.92/x
  3. Step 3: Cross multiply
    287,689.74x = 396,849.26 × 180,072.92
  4. Step 4: Simplify right side
    287,689.74x = 71,461,805,048.04
  5. Step 5: Solve for x
    x = 71,461,805,048.04/287,689.74
  6. Step 6: Final answer
    x = 248,398.87

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1.5x scale

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.