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Finding the Fourth Proportional to 285,349.30, 428,198.91 and 127,711.06

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Solution

The fourth proportional to 285,349.30, 428,198.91 and 127,711.06 is: 191,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,349.30 : 428,198.91 = 127,711.06 : x
  2. Step 2: Convert to fraction form
    285,349.30/428,198.91 = 127,711.06/x
  3. Step 3: Cross multiply
    285,349.30x = 428,198.91 × 127,711.06
  4. Step 4: Simplify right side
    285,349.30x = 54,685,736,686.94
  5. Step 5: Solve for x
    x = 54,685,736,686.94/285,349.30
  6. Step 6: Final answer
    x = 191,644.90

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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.