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Finding the Fourth Proportional to 1,109,829.60, 1,664,744.40 and 773,906.40

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Solution

The fourth proportional to 1,109,829.60, 1,664,744.40 and 773,906.40 is: 1,160,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,829.60 : 1,664,744.40 = 773,906.40 : x
  2. Step 2: Convert to fraction form
    1,109,829.60/1,664,744.40 = 773,906.40/x
  3. Step 3: Cross multiply
    1,109,829.60x = 1,664,744.40 × 773,906.40
  4. Step 4: Simplify right side
    1,109,829.60x = 1,288,356,345,524.16
  5. Step 5: Solve for x
    x = 1,288,356,345,524.16/1,109,829.60
  6. Step 6: Final answer
    x = 1,160,859.60

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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.