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Finding the Fourth Proportional to 342,560.40, 472,723.62 and 189,604.86

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Solution

The fourth proportional to 342,560.40, 472,723.62 and 189,604.86 is: 261,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,560.40 : 472,723.62 = 189,604.86 : x
  2. Step 2: Convert to fraction form
    342,560.40/472,723.62 = 189,604.86/x
  3. Step 3: Cross multiply
    342,560.40x = 472,723.62 × 189,604.86
  4. Step 4: Simplify right side
    342,560.40x = 89,630,695,788.79
  5. Step 5: Solve for x
    x = 89,630,695,788.79/342,560.40
  6. Step 6: Final answer
    x = 261,649.32

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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.