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Finding the Fourth Proportional to 647,469,560.40, 972,212,110.20 and 375,371,768.40

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Solution

The fourth proportional to 647,469,560.40, 972,212,110.20 and 375,371,768.40 is: 563,641,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,469,560.40 : 972,212,110.20 = 375,371,768.40 : x
  2. Step 2: Convert to fraction form
    647,469,560.40/972,212,110.20 = 375,371,768.40/x
  3. Step 3: Cross multiply
    647,469,560.40x = 972,212,110.20 × 375,371,768.40
  4. Step 4: Simplify right side
    647,469,560.40x = 364,940,979,065,669,696
  5. Step 5: Solve for x
    x = 364,940,979,065,669,696/647,469,560.40
  6. Step 6: Final answer
    x = 563,641,909.03

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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.