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Finding the Fourth Proportional to 767,905.21, 1,057,978.56 and 535,112.73

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Solution

The fourth proportional to 767,905.21, 1,057,978.56 and 535,112.73 is: 737,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,905.21 : 1,057,978.56 = 535,112.73 : x
  2. Step 2: Convert to fraction form
    767,905.21/1,057,978.56 = 535,112.73/x
  3. Step 3: Cross multiply
    767,905.21x = 1,057,978.56 × 535,112.73
  4. Step 4: Simplify right side
    767,905.21x = 566,137,797,529.74
  5. Step 5: Solve for x
    x = 566,137,797,529.74/767,905.21
  6. Step 6: Final answer
    x = 737,249.58

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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.