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Finding the Fourth Proportional to 768,829.60, 1,153,241.68 and 207,864

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Solution

The fourth proportional to 768,829.60, 1,153,241.68 and 207,864 is: 311,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,829.60 : 1,153,241.68 = 207,864 : x
  2. Step 2: Convert to fraction form
    768,829.60/1,153,241.68 = 207,864/x
  3. Step 3: Cross multiply
    768,829.60x = 1,153,241.68 × 207,864
  4. Step 4: Simplify right side
    768,829.60x = 239,717,428,571.52
  5. Step 5: Solve for x
    x = 239,717,428,571.52/768,829.60
  6. Step 6: Final answer
    x = 311,795.26

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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.