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Finding the Fourth Proportional to 653,859.32, 980,907.56 and 269,394.68

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Solution

The fourth proportional to 653,859.32, 980,907.56 and 269,394.68 is: 404,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,859.32 : 980,907.56 = 269,394.68 : x
  2. Step 2: Convert to fraction form
    653,859.32/980,907.56 = 269,394.68/x
  3. Step 3: Cross multiply
    653,859.32x = 980,907.56 × 269,394.68
  4. Step 4: Simplify right side
    653,859.32x = 264,251,271,984.27
  5. Step 5: Solve for x
    x = 264,251,271,984.27/653,859.32
  6. Step 6: Final answer
    x = 404,140.87

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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.