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Finding the Fourth Proportional to 288,997.92, 433,102.95 and 139,227.30

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Solution

The fourth proportional to 288,997.92, 433,102.95 and 139,227.30 is: 208,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,997.92 : 433,102.95 = 139,227.30 : x
  2. Step 2: Convert to fraction form
    288,997.92/433,102.95 = 139,227.30/x
  3. Step 3: Cross multiply
    288,997.92x = 433,102.95 × 139,227.30
  4. Step 4: Simplify right side
    288,997.92x = 60,299,754,350.54
  5. Step 5: Solve for x
    x = 60,299,754,350.54/288,997.92
  6. Step 6: Final answer
    x = 208,651.17

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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.