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Finding the Fourth Proportional to 431,388.88, 595,361.24 and 259,363.12

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Solution

The fourth proportional to 431,388.88, 595,361.24 and 259,363.12 is: 357,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,388.88 : 595,361.24 = 259,363.12 : x
  2. Step 2: Convert to fraction form
    431,388.88/595,361.24 = 259,363.12/x
  3. Step 3: Cross multiply
    431,388.88x = 595,361.24 × 259,363.12
  4. Step 4: Simplify right side
    431,388.88x = 154,414,748,733.47
  5. Step 5: Solve for x
    x = 154,414,748,733.47/431,388.88
  6. Step 6: Final answer
    x = 357,947.91

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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.