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Finding the Fourth Proportional to 285,132, 393,585.84 and 165,900

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Solution

The fourth proportional to 285,132, 393,585.84 and 165,900 is: 229,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,132 : 393,585.84 = 165,900 : x
  2. Step 2: Convert to fraction form
    285,132/393,585.84 = 165,900/x
  3. Step 3: Cross multiply
    285,132x = 393,585.84 × 165,900
  4. Step 4: Simplify right side
    285,132x = 65,295,890,856.00
  5. Step 5: Solve for x
    x = 65,295,890,856.00/285,132
  6. Step 6: Final answer
    x = 229,002.32

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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.