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Finding the Fourth Proportional to 215,320,438.20, 322,980,657.30 and 215,320,438.20

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Solution

The fourth proportional to 215,320,438.20, 322,980,657.30 and 215,320,438.20 is: 322,980,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,320,438.20 : 322,980,657.30 = 215,320,438.20 : x
  2. Step 2: Convert to fraction form
    215,320,438.20/322,980,657.30 = 215,320,438.20/x
  3. Step 3: Cross multiply
    215,320,438.20x = 322,980,657.30 × 215,320,438.20
  4. Step 4: Simplify right side
    215,320,438.20x = 69,544,336,659,960,024
  5. Step 5: Solve for x
    x = 69,544,336,659,960,024/215,320,438.20
  6. Step 6: Final answer
    x = 322,980,657.30

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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.