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Finding the Fourth Proportional to 565,104.96, 779,258.22 and 393,217.68

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Solution

The fourth proportional to 565,104.96, 779,258.22 and 393,217.68 is: 542,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,104.96 : 779,258.22 = 393,217.68 : x
  2. Step 2: Convert to fraction form
    565,104.96/779,258.22 = 393,217.68/x
  3. Step 3: Cross multiply
    565,104.96x = 779,258.22 × 393,217.68
  4. Step 4: Simplify right side
    565,104.96x = 306,418,109,389.33
  5. Step 5: Solve for x
    x = 306,418,109,389.33/565,104.96
  6. Step 6: Final answer
    x = 542,232.21

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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.