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Finding the Fourth Proportional to 342,919.72, 473,229.16 and 189,967.82

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Solution

The fourth proportional to 342,919.72, 473,229.16 and 189,967.82 is: 262,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,919.72 : 473,229.16 = 189,967.82 : x
  2. Step 2: Convert to fraction form
    342,919.72/473,229.16 = 189,967.82/x
  3. Step 3: Cross multiply
    342,919.72x = 473,229.16 × 189,967.82
  4. Step 4: Simplify right side
    342,919.72x = 89,898,311,885.63
  5. Step 5: Solve for x
    x = 89,898,311,885.63/342,919.72
  6. Step 6: Final answer
    x = 262,155.56

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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.