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Finding the Fourth Proportional to 312,561.87, 431,333.66 and 169,324.71

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Solution

The fourth proportional to 312,561.87, 431,333.66 and 169,324.71 is: 233,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,561.87 : 431,333.66 = 169,324.71 : x
  2. Step 2: Convert to fraction form
    312,561.87/431,333.66 = 169,324.71/x
  3. Step 3: Cross multiply
    312,561.87x = 431,333.66 × 169,324.71
  4. Step 4: Simplify right side
    312,561.87x = 73,035,446,046.12
  5. Step 5: Solve for x
    x = 73,035,446,046.12/312,561.87
  6. Step 6: Final answer
    x = 233,667.16

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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.