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Finding the Fourth Proportional to 471,002.52, 649,654.02 and 309,806.04

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Solution

The fourth proportional to 471,002.52, 649,654.02 and 309,806.04 is: 427,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,002.52 : 649,654.02 = 309,806.04 : x
  2. Step 2: Convert to fraction form
    471,002.52/649,654.02 = 309,806.04/x
  3. Step 3: Cross multiply
    471,002.52x = 649,654.02 × 309,806.04
  4. Step 4: Simplify right side
    471,002.52x = 201,266,739,306.28
  5. Step 5: Solve for x
    x = 201,266,739,306.28/471,002.52
  6. Step 6: Final answer
    x = 427,315.63

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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.