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Finding the Fourth Proportional to 747,339,978.70, 1,121,009,968.05 and 743,035,306.60

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Solution

The fourth proportional to 747,339,978.70, 1,121,009,968.05 and 743,035,306.60 is: 1,114,552,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,339,978.70 : 1,121,009,968.05 = 743,035,306.60 : x
  2. Step 2: Convert to fraction form
    747,339,978.70/1,121,009,968.05 = 743,035,306.60/x
  3. Step 3: Cross multiply
    747,339,978.70x = 1,121,009,968.05 × 743,035,306.60
  4. Step 4: Simplify right side
    747,339,978.70x = 832,949,985,311,687,936
  5. Step 5: Solve for x
    x = 832,949,985,311,687,936/747,339,978.70
  6. Step 6: Final answer
    x = 1,114,552,959.90

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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.