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Finding the Fourth Proportional to 315,586.20, 435,512.43 and 172,350.47

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Solution

The fourth proportional to 315,586.20, 435,512.43 and 172,350.47 is: 237,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,586.20 : 435,512.43 = 172,350.47 : x
  2. Step 2: Convert to fraction form
    315,586.20/435,512.43 = 172,350.47/x
  3. Step 3: Cross multiply
    315,586.20x = 435,512.43 × 172,350.47
  4. Step 4: Simplify right side
    315,586.20x = 75,060,769,823.78
  5. Step 5: Solve for x
    x = 75,060,769,823.78/315,586.20
  6. Step 6: Final answer
    x = 237,845.54

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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.