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Finding the Fourth Proportional to 603,614,882.70, 905,422,324.05 and 428,262,972.30

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Solution

The fourth proportional to 603,614,882.70, 905,422,324.05 and 428,262,972.30 is: 642,394,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,614,882.70 : 905,422,324.05 = 428,262,972.30 : x
  2. Step 2: Convert to fraction form
    603,614,882.70/905,422,324.05 = 428,262,972.30/x
  3. Step 3: Cross multiply
    603,614,882.70x = 905,422,324.05 × 428,262,972.30
  4. Step 4: Simplify right side
    603,614,882.70x = 387,758,855,684,426,752
  5. Step 5: Solve for x
    x = 387,758,855,684,426,752/603,614,882.70
  6. Step 6: Final answer
    x = 642,394,458.45

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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.