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Finding the Fourth Proportional to 219,491,747, 329,237,762.64 and 55,741,784.12

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Solution

The fourth proportional to 219,491,747, 329,237,762.64 and 55,741,784.12 is: 83,612,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,491,747 : 329,237,762.64 = 55,741,784.12 : x
  2. Step 2: Convert to fraction form
    219,491,747/329,237,762.64 = 55,741,784.12/x
  3. Step 3: Cross multiply
    219,491,747x = 329,237,762.64 × 55,741,784.12
  4. Step 4: Simplify right side
    219,491,747x = 18,352,300,289,230,680
  5. Step 5: Solve for x
    x = 18,352,300,289,230,680/219,491,747
  6. Step 6: Final answer
    x = 83,612,712.28

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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.