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Finding the Fourth Proportional to 778,883.12, 1,167,906.72 and 399,647.60

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Solution

The fourth proportional to 778,883.12, 1,167,906.72 and 399,647.60 is: 599,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,883.12 : 1,167,906.72 = 399,647.60 : x
  2. Step 2: Convert to fraction form
    778,883.12/1,167,906.72 = 399,647.60/x
  3. Step 3: Cross multiply
    778,883.12x = 1,167,906.72 × 399,647.60
  4. Step 4: Simplify right side
    778,883.12x = 466,751,117,671.87
  5. Step 5: Solve for x
    x = 466,751,117,671.87/778,883.12
  6. Step 6: Final answer
    x = 599,256.94

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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.