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Finding the Fourth Proportional to 347,939.70, 480,148.65 and 204,708.96

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Solution

The fourth proportional to 347,939.70, 480,148.65 and 204,708.96 is: 282,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,939.70 : 480,148.65 = 204,708.96 : x
  2. Step 2: Convert to fraction form
    347,939.70/480,148.65 = 204,708.96/x
  3. Step 3: Cross multiply
    347,939.70x = 480,148.65 × 204,708.96
  4. Step 4: Simplify right side
    347,939.70x = 98,290,730,786.90
  5. Step 5: Solve for x
    x = 98,290,730,786.90/347,939.70
  6. Step 6: Final answer
    x = 282,493.58

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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.