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Finding the Fourth Proportional to 647,049,007.80, 970,573,511.70 and 543,736,877.40

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Solution

The fourth proportional to 647,049,007.80, 970,573,511.70 and 543,736,877.40 is: 815,605,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,049,007.80 : 970,573,511.70 = 543,736,877.40 : x
  2. Step 2: Convert to fraction form
    647,049,007.80/970,573,511.70 = 543,736,877.40/x
  3. Step 3: Cross multiply
    647,049,007.80x = 970,573,511.70 × 543,736,877.40
  4. Step 4: Simplify right side
    647,049,007.80x = 527,736,610,538,910,400
  5. Step 5: Solve for x
    x = 527,736,610,538,910,400/647,049,007.80
  6. Step 6: Final answer
    x = 815,605,316.10

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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.