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Finding the Fourth Proportional to 450,687.69, 675,564.40 and 281,820.42

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Solution

The fourth proportional to 450,687.69, 675,564.40 and 281,820.42 is: 422,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,687.69 : 675,564.40 = 281,820.42 : x
  2. Step 2: Convert to fraction form
    450,687.69/675,564.40 = 281,820.42/x
  3. Step 3: Cross multiply
    450,687.69x = 675,564.40 × 281,820.42
  4. Step 4: Simplify right side
    450,687.69x = 190,387,838,862.68
  5. Step 5: Solve for x
    x = 190,387,838,862.68/450,687.69
  6. Step 6: Final answer
    x = 422,438.52

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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.