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Finding the Fourth Proportional to 342,575.66, 472,742.35 and 189,614.15

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Solution

The fourth proportional to 342,575.66, 472,742.35 and 189,614.15 is: 261,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,575.66 : 472,742.35 = 189,614.15 : x
  2. Step 2: Convert to fraction form
    342,575.66/472,742.35 = 189,614.15/x
  3. Step 3: Cross multiply
    342,575.66x = 472,742.35 × 189,614.15
  4. Step 4: Simplify right side
    342,575.66x = 89,638,638,865.87
  5. Step 5: Solve for x
    x = 89,638,638,865.87/342,575.66
  6. Step 6: Final answer
    x = 261,660.85

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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.