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Finding the Fourth Proportional to 431,472, 595,451.73 and 240,486.78

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Solution

The fourth proportional to 431,472, 595,451.73 and 240,486.78 is: 331,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,472 : 595,451.73 = 240,486.78 : x
  2. Step 2: Convert to fraction form
    431,472/595,451.73 = 240,486.78/x
  3. Step 3: Cross multiply
    431,472x = 595,451.73 × 240,486.78
  4. Step 4: Simplify right side
    431,472x = 143,198,269,193.13
  5. Step 5: Solve for x
    x = 143,198,269,193.13/431,472
  6. Step 6: Final answer
    x = 331,883.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.