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Finding the Fourth Proportional to 209,892.80, 314,839.20 and 115,414.40

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Solution

The fourth proportional to 209,892.80, 314,839.20 and 115,414.40 is: 173,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892.80 : 314,839.20 = 115,414.40 : x
  2. Step 2: Convert to fraction form
    209,892.80/314,839.20 = 115,414.40/x
  3. Step 3: Cross multiply
    209,892.80x = 314,839.20 × 115,414.40
  4. Step 4: Simplify right side
    209,892.80x = 36,336,977,364.48
  5. Step 5: Solve for x
    x = 36,336,977,364.48/209,892.80
  6. Step 6: Final answer
    x = 173,121.60

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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.