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Finding the Fourth Proportional to 312,710.42, 431,540.75 and 169,470.46

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Solution

The fourth proportional to 312,710.42, 431,540.75 and 169,470.46 is: 233,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,710.42 : 431,540.75 = 169,470.46 : x
  2. Step 2: Convert to fraction form
    312,710.42/431,540.75 = 169,470.46/x
  3. Step 3: Cross multiply
    312,710.42x = 431,540.75 × 169,470.46
  4. Step 4: Simplify right side
    312,710.42x = 73,133,409,411.25
  5. Step 5: Solve for x
    x = 73,133,409,411.25/312,710.42
  6. Step 6: Final answer
    x = 233,869.44

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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.