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Finding the Fourth Proportional to 285,342.13, 428,170.72 and 159,053.48

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Solution

The fourth proportional to 285,342.13, 428,170.72 and 159,053.48 is: 238,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,342.13 : 428,170.72 = 159,053.48 : x
  2. Step 2: Convert to fraction form
    285,342.13/428,170.72 = 159,053.48/x
  3. Step 3: Cross multiply
    285,342.13x = 428,170.72 × 159,053.48
  4. Step 4: Simplify right side
    285,342.13x = 68,102,043,050.11
  5. Step 5: Solve for x
    x = 68,102,043,050.11/285,342.13
  6. Step 6: Final answer
    x = 238,668.03

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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.