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Finding the Fourth Proportional to 616,301.76, 850,608 and 398,778.24

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Solution

The fourth proportional to 616,301.76, 850,608 and 398,778.24 is: 550,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,301.76 : 850,608 = 398,778.24 : x
  2. Step 2: Convert to fraction form
    616,301.76/850,608 = 398,778.24/x
  3. Step 3: Cross multiply
    616,301.76x = 850,608 × 398,778.24
  4. Step 4: Simplify right side
    616,301.76x = 339,203,961,169.92
  5. Step 5: Solve for x
    x = 339,203,961,169.92/616,301.76
  6. Step 6: Final answer
    x = 550,386.16

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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.