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Finding the Fourth Proportional to 503,299.96, 694,556.30 and 288,452.72

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Solution

The fourth proportional to 503,299.96, 694,556.30 and 288,452.72 is: 398,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,299.96 : 694,556.30 = 288,452.72 : x
  2. Step 2: Convert to fraction form
    503,299.96/694,556.30 = 288,452.72/x
  3. Step 3: Cross multiply
    503,299.96x = 694,556.30 × 288,452.72
  4. Step 4: Simplify right side
    503,299.96x = 200,346,653,928.14
  5. Step 5: Solve for x
    x = 200,346,653,928.14/503,299.96
  6. Step 6: Final answer
    x = 398,066.10

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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.