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Finding the Fourth Proportional to 209,952,276.30, 314,928,414.45 and 206,551,053.90

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Solution

The fourth proportional to 209,952,276.30, 314,928,414.45 and 206,551,053.90 is: 309,826,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,276.30 : 314,928,414.45 = 206,551,053.90 : x
  2. Step 2: Convert to fraction form
    209,952,276.30/314,928,414.45 = 206,551,053.90/x
  3. Step 3: Cross multiply
    209,952,276.30x = 314,928,414.45 × 206,551,053.90
  4. Step 4: Simplify right side
    209,952,276.30x = 65,048,795,907,703,488
  5. Step 5: Solve for x
    x = 65,048,795,907,703,488/209,952,276.30
  6. Step 6: Final answer
    x = 309,826,580.85

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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.