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Finding the Fourth Proportional to 201,424.80, 302,137.20 and 188,983.20

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Solution

The fourth proportional to 201,424.80, 302,137.20 and 188,983.20 is: 283,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,424.80 : 302,137.20 = 188,983.20 : x
  2. Step 2: Convert to fraction form
    201,424.80/302,137.20 = 188,983.20/x
  3. Step 3: Cross multiply
    201,424.80x = 302,137.20 × 188,983.20
  4. Step 4: Simplify right side
    201,424.80x = 57,098,854,895.04
  5. Step 5: Solve for x
    x = 57,098,854,895.04/201,424.80
  6. Step 6: Final answer
    x = 283,474.80

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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.