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Finding the Fourth Proportional to 342,909.25, 473,105.41 and 222,143.11

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Solution

The fourth proportional to 342,909.25, 473,105.41 and 222,143.11 is: 306,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,909.25 : 473,105.41 = 222,143.11 : x
  2. Step 2: Convert to fraction form
    342,909.25/473,105.41 = 222,143.11/x
  3. Step 3: Cross multiply
    342,909.25x = 473,105.41 × 222,143.11
  4. Step 4: Simplify right side
    342,909.25x = 105,097,107,135.23
  5. Step 5: Solve for x
    x = 105,097,107,135.23/342,909.25
  6. Step 6: Final answer
    x = 306,486.65

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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.