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Finding the Fourth Proportional to 342,568.23, 472,738.41 and 189,603.15

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Solution

The fourth proportional to 342,568.23, 472,738.41 and 189,603.15 is: 261,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,568.23 : 472,738.41 = 189,603.15 : x
  2. Step 2: Convert to fraction form
    342,568.23/472,738.41 = 189,603.15/x
  3. Step 3: Cross multiply
    342,568.23x = 472,738.41 × 189,603.15
  4. Step 4: Simplify right side
    342,568.23x = 89,632,688,350.28
  5. Step 5: Solve for x
    x = 89,632,688,350.28/342,568.23
  6. Step 6: Final answer
    x = 261,649.16

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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.