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Finding the Fourth Proportional to 209,874.30, 314,811.45 and 205,500.30

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Solution

The fourth proportional to 209,874.30, 314,811.45 and 205,500.30 is: 308,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,874.30 : 314,811.45 = 205,500.30 : x
  2. Step 2: Convert to fraction form
    209,874.30/314,811.45 = 205,500.30/x
  3. Step 3: Cross multiply
    209,874.30x = 314,811.45 × 205,500.30
  4. Step 4: Simplify right side
    209,874.30x = 64,693,847,418.44
  5. Step 5: Solve for x
    x = 64,693,847,418.44/209,874.30
  6. Step 6: Final answer
    x = 308,250.45

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1.5x scale

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.