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Finding the Fourth Proportional to 389,053.80, 582,640.20 and 322,000.38

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Solution

The fourth proportional to 389,053.80, 582,640.20 and 322,000.38 is: 482,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,053.80 : 582,640.20 = 322,000.38 : x
  2. Step 2: Convert to fraction form
    389,053.80/582,640.20 = 322,000.38/x
  3. Step 3: Cross multiply
    389,053.80x = 582,640.20 × 322,000.38
  4. Step 4: Simplify right side
    389,053.80x = 187,610,365,803.28
  5. Step 5: Solve for x
    x = 187,610,365,803.28/389,053.80
  6. Step 6: Final answer
    x = 482,222.17

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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.