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Finding the Fourth Proportional to 285,937.27, 428,559.54 and 159,443.08

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Solution

The fourth proportional to 285,937.27, 428,559.54 and 159,443.08 is: 238,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,937.27 : 428,559.54 = 159,443.08 : x
  2. Step 2: Convert to fraction form
    285,937.27/428,559.54 = 159,443.08/x
  3. Step 3: Cross multiply
    285,937.27x = 428,559.54 × 159,443.08
  4. Step 4: Simplify right side
    285,937.27x = 68,330,853,020.98
  5. Step 5: Solve for x
    x = 68,330,853,020.98/285,937.27
  6. Step 6: Final answer
    x = 238,971.48

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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.