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Finding the Fourth Proportional to 219,793,511.80, 329,690,267.70 and 138,004,741.90

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Solution

The fourth proportional to 219,793,511.80, 329,690,267.70 and 138,004,741.90 is: 207,007,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,793,511.80 : 329,690,267.70 = 138,004,741.90 : x
  2. Step 2: Convert to fraction form
    219,793,511.80/329,690,267.70 = 138,004,741.90/x
  3. Step 3: Cross multiply
    219,793,511.80x = 329,690,267.70 × 138,004,741.90
  4. Step 4: Simplify right side
    219,793,511.80x = 45,498,820,300,880,408
  5. Step 5: Solve for x
    x = 45,498,820,300,880,408/219,793,511.80
  6. Step 6: Final answer
    x = 207,007,112.85

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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.