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Finding the Fourth Proportional to 312,470.31, 431,208.90 and 169,230.36

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Solution

The fourth proportional to 312,470.31, 431,208.90 and 169,230.36 is: 233,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,470.31 : 431,208.90 = 169,230.36 : x
  2. Step 2: Convert to fraction form
    312,470.31/431,208.90 = 169,230.36/x
  3. Step 3: Cross multiply
    312,470.31x = 431,208.90 × 169,230.36
  4. Step 4: Simplify right side
    312,470.31x = 72,973,637,382.20
  5. Step 5: Solve for x
    x = 72,973,637,382.20/312,470.31
  6. Step 6: Final answer
    x = 233,537.83

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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.