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Finding the Fourth Proportional to 312,593.66, 431,379.69 and 169,353.69

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Solution

The fourth proportional to 312,593.66, 431,379.69 and 169,353.69 is: 233,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,593.66 : 431,379.69 = 169,353.69 : x
  2. Step 2: Convert to fraction form
    312,593.66/431,379.69 = 169,353.69/x
  3. Step 3: Cross multiply
    312,593.66x = 431,379.69 × 169,353.69
  4. Step 4: Simplify right side
    312,593.66x = 73,055,742,292.56
  5. Step 5: Solve for x
    x = 73,055,742,292.56/312,593.66
  6. Step 6: Final answer
    x = 233,708.33

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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.