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Finding the Fourth Proportional to 312,420.78, 431,142 and 169,180.94

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Solution

The fourth proportional to 312,420.78, 431,142 and 169,180.94 is: 233,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,420.78 : 431,142 = 169,180.94 : x
  2. Step 2: Convert to fraction form
    312,420.78/431,142 = 169,180.94/x
  3. Step 3: Cross multiply
    312,420.78x = 431,142 × 169,180.94
  4. Step 4: Simplify right side
    312,420.78x = 72,941,008,833.48
  5. Step 5: Solve for x
    x = 72,941,008,833.48/312,420.78
  6. Step 6: Final answer
    x = 233,470.41

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1.5x scale

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.