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Finding the Fourth Proportional to 209,974.60, 314,961.90 and 206,475.40

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Solution

The fourth proportional to 209,974.60, 314,961.90 and 206,475.40 is: 309,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,974.60 : 314,961.90 = 206,475.40 : x
  2. Step 2: Convert to fraction form
    209,974.60/314,961.90 = 206,475.40/x
  3. Step 3: Cross multiply
    209,974.60x = 314,961.90 × 206,475.40
  4. Step 4: Simplify right side
    209,974.60x = 65,031,884,287.26
  5. Step 5: Solve for x
    x = 65,031,884,287.26/209,974.60
  6. Step 6: Final answer
    x = 309,713.10

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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.