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Finding the Fourth Proportional to 659,809,296.70, 989,462,002.65 and 199,594,512.70

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Solution

The fourth proportional to 659,809,296.70, 989,462,002.65 and 199,594,512.70 is: 299,315,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,809,296.70 : 989,462,002.65 = 199,594,512.70 : x
  2. Step 2: Convert to fraction form
    659,809,296.70/989,462,002.65 = 199,594,512.70/x
  3. Step 3: Cross multiply
    659,809,296.70x = 989,462,002.65 × 199,594,512.70
  4. Step 4: Simplify right side
    659,809,296.70x = 197,491,186,254,092,832
  5. Step 5: Solve for x
    x = 197,491,186,254,092,832/659,809,296.70
  6. Step 6: Final answer
    x = 299,315,555.63

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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.