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Finding the Fourth Proportional to 313,198.78, 432,214.32 and 169,958.82

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Solution

The fourth proportional to 313,198.78, 432,214.32 and 169,958.82 is: 234,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,198.78 : 432,214.32 = 169,958.82 : x
  2. Step 2: Convert to fraction form
    313,198.78/432,214.32 = 169,958.82/x
  3. Step 3: Cross multiply
    313,198.78x = 432,214.32 × 169,958.82
  4. Step 4: Simplify right side
    313,198.78x = 73,458,636,877.43
  5. Step 5: Solve for x
    x = 73,458,636,877.43/313,198.78
  6. Step 6: Final answer
    x = 234,543.18

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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.