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Finding the Fourth Proportional to 471,743.80, 706,578.90 and 284,428.60

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Solution

The fourth proportional to 471,743.80, 706,578.90 and 284,428.60 is: 426,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,743.80 : 706,578.90 = 284,428.60 : x
  2. Step 2: Convert to fraction form
    471,743.80/706,578.90 = 284,428.60/x
  3. Step 3: Cross multiply
    471,743.80x = 706,578.90 × 284,428.60
  4. Step 4: Simplify right side
    471,743.80x = 200,971,247,316.54
  5. Step 5: Solve for x
    x = 200,971,247,316.54/471,743.80
  6. Step 6: Final answer
    x = 426,017.78

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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.