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Finding the Fourth Proportional to 312,443.22, 431,169.39 and 169,199.94

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Solution

The fourth proportional to 312,443.22, 431,169.39 and 169,199.94 is: 233,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,443.22 : 431,169.39 = 169,199.94 : x
  2. Step 2: Convert to fraction form
    312,443.22/431,169.39 = 169,199.94/x
  3. Step 3: Cross multiply
    312,443.22x = 431,169.39 × 169,199.94
  4. Step 4: Simplify right side
    312,443.22x = 72,953,834,917.84
  5. Step 5: Solve for x
    x = 72,953,834,917.84/312,443.22
  6. Step 6: Final answer
    x = 233,494.70

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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.