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Finding the Fourth Proportional to 209,468.16, 313,776 and 167,418.72

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Solution

The fourth proportional to 209,468.16, 313,776 and 167,418.72 is: 250,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,468.16 : 313,776 = 167,418.72 : x
  2. Step 2: Convert to fraction form
    209,468.16/313,776 = 167,418.72/x
  3. Step 3: Cross multiply
    209,468.16x = 313,776 × 167,418.72
  4. Step 4: Simplify right side
    209,468.16x = 52,531,976,286.72
  5. Step 5: Solve for x
    x = 52,531,976,286.72/209,468.16
  6. Step 6: Final answer
    x = 250,787.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.