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Finding the Fourth Proportional to 209,844,793.80, 314,767,190.70 and 166,006,816.20

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Solution

The fourth proportional to 209,844,793.80, 314,767,190.70 and 166,006,816.20 is: 249,010,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,844,793.80 : 314,767,190.70 = 166,006,816.20 : x
  2. Step 2: Convert to fraction form
    209,844,793.80/314,767,190.70 = 166,006,816.20/x
  3. Step 3: Cross multiply
    209,844,793.80x = 314,767,190.70 × 166,006,816.20
  4. Step 4: Simplify right side
    209,844,793.80x = 52,253,499,172,325,240
  5. Step 5: Solve for x
    x = 52,253,499,172,325,240/209,844,793.80
  6. Step 6: Final answer
    x = 249,010,224.30

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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.