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Finding the Fourth Proportional to 209,952,311.70, 314,928,467.55 and 202,299,561.30

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Solution

The fourth proportional to 209,952,311.70, 314,928,467.55 and 202,299,561.30 is: 303,449,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,311.70 : 314,928,467.55 = 202,299,561.30 : x
  2. Step 2: Convert to fraction form
    209,952,311.70/314,928,467.55 = 202,299,561.30/x
  3. Step 3: Cross multiply
    209,952,311.70x = 314,928,467.55 × 202,299,561.30
  4. Step 4: Simplify right side
    209,952,311.70x = 63,709,890,826,246,288
  5. Step 5: Solve for x
    x = 63,709,890,826,246,288/209,952,311.70
  6. Step 6: Final answer
    x = 303,449,341.95

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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.