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Finding the Fourth Proportional to 312,637.74, 431,588.83 and 209,449.61

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Solution

The fourth proportional to 312,637.74, 431,588.83 and 209,449.61 is: 289,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,637.74 : 431,588.83 = 209,449.61 : x
  2. Step 2: Convert to fraction form
    312,637.74/431,588.83 = 209,449.61/x
  3. Step 3: Cross multiply
    312,637.74x = 431,588.83 × 209,449.61
  4. Step 4: Simplify right side
    312,637.74x = 90,396,109,965.91
  5. Step 5: Solve for x
    x = 90,396,109,965.91/312,637.74
  6. Step 6: Final answer
    x = 289,140.11

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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.