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Finding the Fourth Proportional to 206,972,694.40, 310,459,041.60 and 196,894,998.40

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Solution

The fourth proportional to 206,972,694.40, 310,459,041.60 and 196,894,998.40 is: 295,342,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,972,694.40 : 310,459,041.60 = 196,894,998.40 : x
  2. Step 2: Convert to fraction form
    206,972,694.40/310,459,041.60 = 196,894,998.40/x
  3. Step 3: Cross multiply
    206,972,694.40x = 310,459,041.60 × 196,894,998.40
  4. Step 4: Simplify right side
    206,972,694.40x = 61,127,832,499,097,536
  5. Step 5: Solve for x
    x = 61,127,832,499,097,536/206,972,694.40
  6. Step 6: Final answer
    x = 295,342,497.60

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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.