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Finding the Fourth Proportional to 645,591,801.40, 966,952,811.40 and 559,498,359.40

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Solution

The fourth proportional to 645,591,801.40, 966,952,811.40 and 559,498,359.40 is: 838,003,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,591,801.40 : 966,952,811.40 = 559,498,359.40 : x
  2. Step 2: Convert to fraction form
    645,591,801.40/966,952,811.40 = 559,498,359.40/x
  3. Step 3: Cross multiply
    645,591,801.40x = 966,952,811.40 × 559,498,359.40
  4. Step 4: Simplify right side
    645,591,801.40x = 541,008,511,595,517,568
  5. Step 5: Solve for x
    x = 541,008,511,595,517,568/645,591,801.40
  6. Step 6: Final answer
    x = 838,003,999.47

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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.