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Finding the Fourth Proportional to 768,679,900.20, 1,153,019,850.30 and 354,155,920.20

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Solution

The fourth proportional to 768,679,900.20, 1,153,019,850.30 and 354,155,920.20 is: 531,233,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,679,900.20 : 1,153,019,850.30 = 354,155,920.20 : x
  2. Step 2: Convert to fraction form
    768,679,900.20/1,153,019,850.30 = 354,155,920.20/x
  3. Step 3: Cross multiply
    768,679,900.20x = 1,153,019,850.30 × 354,155,920.20
  4. Step 4: Simplify right side
    768,679,900.20x = 408,348,806,091,862,720
  5. Step 5: Solve for x
    x = 408,348,806,091,862,720/768,679,900.20
  6. Step 6: Final answer
    x = 531,233,880.30

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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.