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Finding the Fourth Proportional to 339,340.40, 509,010.60 and 322,233.20

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Solution

The fourth proportional to 339,340.40, 509,010.60 and 322,233.20 is: 483,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,340.40 : 509,010.60 = 322,233.20 : x
  2. Step 2: Convert to fraction form
    339,340.40/509,010.60 = 322,233.20/x
  3. Step 3: Cross multiply
    339,340.40x = 509,010.60 × 322,233.20
  4. Step 4: Simplify right side
    339,340.40x = 164,020,114,471.92
  5. Step 5: Solve for x
    x = 164,020,114,471.92/339,340.40
  6. Step 6: Final answer
    x = 483,349.80

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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.