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Finding the Fourth Proportional to 209,976.60, 314,964.90 and 206,477.40

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Solution

The fourth proportional to 209,976.60, 314,964.90 and 206,477.40 is: 309,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,976.60 : 314,964.90 = 206,477.40 : x
  2. Step 2: Convert to fraction form
    209,976.60/314,964.90 = 206,477.40/x
  3. Step 3: Cross multiply
    209,976.60x = 314,964.90 × 206,477.40
  4. Step 4: Simplify right side
    209,976.60x = 65,033,133,643.26
  5. Step 5: Solve for x
    x = 65,033,133,643.26/209,976.60
  6. Step 6: Final answer
    x = 309,716.10

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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.