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Finding the Fourth Proportional to 287,678.36, 396,987 and 180,306.38

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Solution

The fourth proportional to 287,678.36, 396,987 and 180,306.38 is: 248,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,678.36 : 396,987 = 180,306.38 : x
  2. Step 2: Convert to fraction form
    287,678.36/396,987 = 180,306.38/x
  3. Step 3: Cross multiply
    287,678.36x = 396,987 × 180,306.38
  4. Step 4: Simplify right side
    287,678.36x = 71,579,288,877.06
  5. Step 5: Solve for x
    x = 71,579,288,877.06/287,678.36
  6. Step 6: Final answer
    x = 248,817.08

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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.