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Finding the Fourth Proportional to 497,383.62, 745,447.28 and 212,735.85

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Solution

The fourth proportional to 497,383.62, 745,447.28 and 212,735.85 is: 318,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,383.62 : 745,447.28 = 212,735.85 : x
  2. Step 2: Convert to fraction form
    497,383.62/745,447.28 = 212,735.85/x
  3. Step 3: Cross multiply
    497,383.62x = 745,447.28 × 212,735.85
  4. Step 4: Simplify right side
    497,383.62x = 158,583,359,677.31
  5. Step 5: Solve for x
    x = 158,583,359,677.31/497,383.62
  6. Step 6: Final answer
    x = 318,835.11

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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.