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Finding the Fourth Proportional to 200,508, 300,762 and 60,266.76

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Solution

The fourth proportional to 200,508, 300,762 and 60,266.76 is: 90,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,508 : 300,762 = 60,266.76 : x
  2. Step 2: Convert to fraction form
    200,508/300,762 = 60,266.76/x
  3. Step 3: Cross multiply
    200,508x = 300,762 × 60,266.76
  4. Step 4: Simplify right side
    200,508x = 18,125,951,271.12
  5. Step 5: Solve for x
    x = 18,125,951,271.12/200,508
  6. Step 6: Final answer
    x = 90,400.14

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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.