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Finding the Fourth Proportional to 342,238.95, 513,319.19 and 89,543.84

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Solution

The fourth proportional to 342,238.95, 513,319.19 and 89,543.84 is: 134,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,238.95 : 513,319.19 = 89,543.84 : x
  2. Step 2: Convert to fraction form
    342,238.95/513,319.19 = 89,543.84/x
  3. Step 3: Cross multiply
    342,238.95x = 513,319.19 × 89,543.84
  4. Step 4: Simplify right side
    342,238.95x = 45,964,568,403.97
  5. Step 5: Solve for x
    x = 45,964,568,403.97/342,238.95
  6. Step 6: Final answer
    x = 134,305.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.