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Finding the Fourth Proportional to 285,192.66, 428,209.53 and 159,079.31

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Solution

The fourth proportional to 285,192.66, 428,209.53 and 159,079.31 is: 238,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,192.66 : 428,209.53 = 159,079.31 : x
  2. Step 2: Convert to fraction form
    285,192.66/428,209.53 = 159,079.31/x
  3. Step 3: Cross multiply
    285,192.66x = 428,209.53 × 159,079.31
  4. Step 4: Simplify right side
    285,192.66x = 68,119,274,426.78
  5. Step 5: Solve for x
    x = 68,119,274,426.78/285,192.66
  6. Step 6: Final answer
    x = 238,853.53

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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.