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Finding the Fourth Proportional to 768,672,003.80, 1,153,008,005.70 and 732,959,168.60

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Solution

The fourth proportional to 768,672,003.80, 1,153,008,005.70 and 732,959,168.60 is: 1,099,438,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,672,003.80 : 1,153,008,005.70 = 732,959,168.60 : x
  2. Step 2: Convert to fraction form
    768,672,003.80/1,153,008,005.70 = 732,959,168.60/x
  3. Step 3: Cross multiply
    768,672,003.80x = 1,153,008,005.70 × 732,959,168.60
  4. Step 4: Simplify right side
    768,672,003.80x = 845,107,789,247,016,064
  5. Step 5: Solve for x
    x = 845,107,789,247,016,064/768,672,003.80
  6. Step 6: Final answer
    x = 1,099,438,752.90

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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.