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Finding the Fourth Proportional to 208,265.50, 312,399.28 and 50,493.96

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Solution

The fourth proportional to 208,265.50, 312,399.28 and 50,493.96 is: 75,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,265.50 : 312,399.28 = 50,493.96 : x
  2. Step 2: Convert to fraction form
    208,265.50/312,399.28 = 50,493.96/x
  3. Step 3: Cross multiply
    208,265.50x = 312,399.28 × 50,493.96
  4. Step 4: Simplify right side
    208,265.50x = 15,774,276,748.35
  5. Step 5: Solve for x
    x = 15,774,276,748.35/208,265.50
  6. Step 6: Final answer
    x = 75,741.19

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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.