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Finding the Fourth Proportional to 835,777, 1,153,372.26 and 478,081

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Solution

The fourth proportional to 835,777, 1,153,372.26 and 478,081 is: 659,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,777 : 1,153,372.26 = 478,081 : x
  2. Step 2: Convert to fraction form
    835,777/1,153,372.26 = 478,081/x
  3. Step 3: Cross multiply
    835,777x = 1,153,372.26 × 478,081
  4. Step 4: Simplify right side
    835,777x = 551,405,363,433.06
  5. Step 5: Solve for x
    x = 551,405,363,433.06/835,777
  6. Step 6: Final answer
    x = 659,751.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.