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Finding the Fourth Proportional to 768,902.10, 1,153,353.15 and 207,936.60

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Solution

The fourth proportional to 768,902.10, 1,153,353.15 and 207,936.60 is: 311,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,902.10 : 1,153,353.15 = 207,936.60 : x
  2. Step 2: Convert to fraction form
    768,902.10/1,153,353.15 = 207,936.60/x
  3. Step 3: Cross multiply
    768,902.10x = 1,153,353.15 × 207,936.60
  4. Step 4: Simplify right side
    768,902.10x = 239,824,332,610.29
  5. Step 5: Solve for x
    x = 239,824,332,610.29/768,902.10
  6. Step 6: Final answer
    x = 311,904.90

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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.