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Finding the Fourth Proportional to 209,280.80, 313,402.80 and 167,808.80

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Solution

The fourth proportional to 209,280.80, 313,402.80 and 167,808.80 is: 251,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,280.80 : 313,402.80 = 167,808.80 : x
  2. Step 2: Convert to fraction form
    209,280.80/313,402.80 = 167,808.80/x
  3. Step 3: Cross multiply
    209,280.80x = 313,402.80 × 167,808.80
  4. Step 4: Simplify right side
    209,280.80x = 52,591,747,784.64
  5. Step 5: Solve for x
    x = 52,591,747,784.64/209,280.80
  6. Step 6: Final answer
    x = 251,297.53

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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.