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Finding the Fourth Proportional to 495,751.44, 743,494.32 and 215,202

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Solution

The fourth proportional to 495,751.44, 743,494.32 and 215,202 is: 322,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,751.44 : 743,494.32 = 215,202 : x
  2. Step 2: Convert to fraction form
    495,751.44/743,494.32 = 215,202/x
  3. Step 3: Cross multiply
    495,751.44x = 743,494.32 × 215,202
  4. Step 4: Simplify right side
    495,751.44x = 160,001,464,652.64
  5. Step 5: Solve for x
    x = 160,001,464,652.64/495,751.44
  6. Step 6: Final answer
    x = 322,745.34

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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.