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Finding the Fourth Proportional to 312,710.31, 431,540.58 and 169,470.36

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Solution

The fourth proportional to 312,710.31, 431,540.58 and 169,470.36 is: 233,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,710.31 : 431,540.58 = 169,470.36 : x
  2. Step 2: Convert to fraction form
    312,710.31/431,540.58 = 169,470.36/x
  3. Step 3: Cross multiply
    312,710.31x = 431,540.58 × 169,470.36
  4. Step 4: Simplify right side
    312,710.31x = 73,133,337,447.21
  5. Step 5: Solve for x
    x = 73,133,337,447.21/312,710.31
  6. Step 6: Final answer
    x = 233,869.29

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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.