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Finding the Fourth Proportional to 547,309.13, 820,754.56 and 262,918.63

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Solution

The fourth proportional to 547,309.13, 820,754.56 and 262,918.63 is: 394,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,309.13 : 820,754.56 = 262,918.63 : x
  2. Step 2: Convert to fraction form
    547,309.13/820,754.56 = 262,918.63/x
  3. Step 3: Cross multiply
    547,309.13x = 820,754.56 × 262,918.63
  4. Step 4: Simplify right side
    547,309.13x = 215,791,664,357.13
  5. Step 5: Solve for x
    x = 215,791,664,357.13/547,309.13
  6. Step 6: Final answer
    x = 394,277.48

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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.