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Finding the Fourth Proportional to 209,954,870.80, 314,932,306.20 and 188,791,709.20

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Solution

The fourth proportional to 209,954,870.80, 314,932,306.20 and 188,791,709.20 is: 283,187,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,954,870.80 : 314,932,306.20 = 188,791,709.20 : x
  2. Step 2: Convert to fraction form
    209,954,870.80/314,932,306.20 = 188,791,709.20/x
  3. Step 3: Cross multiply
    209,954,870.80x = 314,932,306.20 × 188,791,709.20
  4. Step 4: Simplify right side
    209,954,870.80x = 59,456,608,369,795,752
  5. Step 5: Solve for x
    x = 59,456,608,369,795,752/209,954,870.80
  6. Step 6: Final answer
    x = 283,187,563.80

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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.