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Finding the Fourth Proportional to 353,884.50, 488,353.32 and 192,742.38

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Solution

The fourth proportional to 353,884.50, 488,353.32 and 192,742.38 is: 265,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,884.50 : 488,353.32 = 192,742.38 : x
  2. Step 2: Convert to fraction form
    353,884.50/488,353.32 = 192,742.38/x
  3. Step 3: Cross multiply
    353,884.50x = 488,353.32 × 192,742.38
  4. Step 4: Simplify right side
    353,884.50x = 94,126,381,177.70
  5. Step 5: Solve for x
    x = 94,126,381,177.70/353,884.50
  6. Step 6: Final answer
    x = 265,980.51

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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.