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Finding the Fourth Proportional to 477,944,715.20, 716,917,072.80 and 329,991,540.80

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Solution

The fourth proportional to 477,944,715.20, 716,917,072.80 and 329,991,540.80 is: 494,987,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,944,715.20 : 716,917,072.80 = 329,991,540.80 : x
  2. Step 2: Convert to fraction form
    477,944,715.20/716,917,072.80 = 329,991,540.80/x
  3. Step 3: Cross multiply
    477,944,715.20x = 716,917,072.80 × 329,991,540.80
  4. Step 4: Simplify right side
    477,944,715.20x = 236,576,569,479,097,760
  5. Step 5: Solve for x
    x = 236,576,569,479,097,760/477,944,715.20
  6. Step 6: Final answer
    x = 494,987,311.20

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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.