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Finding the Fourth Proportional to 287,580.90, 431,371.35 and 161,609.70

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Solution

The fourth proportional to 287,580.90, 431,371.35 and 161,609.70 is: 242,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,580.90 : 431,371.35 = 161,609.70 : x
  2. Step 2: Convert to fraction form
    287,580.90/431,371.35 = 161,609.70/x
  3. Step 3: Cross multiply
    287,580.90x = 431,371.35 × 161,609.70
  4. Step 4: Simplify right side
    287,580.90x = 69,713,794,462.10
  5. Step 5: Solve for x
    x = 69,713,794,462.10/287,580.90
  6. Step 6: Final answer
    x = 242,414.55

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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.