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Finding the Fourth Proportional to 541,965.84, 747,910.44 and 312,522

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Solution

The fourth proportional to 541,965.84, 747,910.44 and 312,522 is: 431,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,965.84 : 747,910.44 = 312,522 : x
  2. Step 2: Convert to fraction form
    541,965.84/747,910.44 = 312,522/x
  3. Step 3: Cross multiply
    541,965.84x = 747,910.44 × 312,522
  4. Step 4: Simplify right side
    541,965.84x = 233,738,466,529.68
  5. Step 5: Solve for x
    x = 233,738,466,529.68/541,965.84
  6. Step 6: Final answer
    x = 431,278.96

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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.