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Finding the Fourth Proportional to 393,840,151.80, 590,760,227.70 and 189,766,807.80

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Solution

The fourth proportional to 393,840,151.80, 590,760,227.70 and 189,766,807.80 is: 284,650,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,840,151.80 : 590,760,227.70 = 189,766,807.80 : x
  2. Step 2: Convert to fraction form
    393,840,151.80/590,760,227.70 = 189,766,807.80/x
  3. Step 3: Cross multiply
    393,840,151.80x = 590,760,227.70 × 189,766,807.80
  4. Step 4: Simplify right side
    393,840,151.80x = 112,106,682,585,830,160
  5. Step 5: Solve for x
    x = 112,106,682,585,830,160/393,840,151.80
  6. Step 6: Final answer
    x = 284,650,211.70

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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.