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Finding the Fourth Proportional to 778,765.41, 1,074,469.73 and 488,616.93

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Solution

The fourth proportional to 778,765.41, 1,074,469.73 and 488,616.93 is: 674,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,765.41 : 1,074,469.73 = 488,616.93 : x
  2. Step 2: Convert to fraction form
    778,765.41/1,074,469.73 = 488,616.93/x
  3. Step 3: Cross multiply
    778,765.41x = 1,074,469.73 × 488,616.93
  4. Step 4: Simplify right side
    778,765.41x = 525,004,098,407.44
  5. Step 5: Solve for x
    x = 525,004,098,407.44/778,765.41
  6. Step 6: Final answer
    x = 674,149.23

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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.