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Finding the Fourth Proportional to 537,129.90, 805,693.41 and 200,162.88

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Solution

The fourth proportional to 537,129.90, 805,693.41 and 200,162.88 is: 300,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,129.90 : 805,693.41 = 200,162.88 : x
  2. Step 2: Convert to fraction form
    537,129.90/805,693.41 = 200,162.88/x
  3. Step 3: Cross multiply
    537,129.90x = 805,693.41 × 200,162.88
  4. Step 4: Simplify right side
    537,129.90x = 161,269,913,342.62
  5. Step 5: Solve for x
    x = 161,269,913,342.62/537,129.90
  6. Step 6: Final answer
    x = 300,243.78

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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.