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Finding the Fourth Proportional to 515,027.39, 772,507.24 and 177,989.63

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Solution

The fourth proportional to 515,027.39, 772,507.24 and 177,989.63 is: 266,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,027.39 : 772,507.24 = 177,989.63 : x
  2. Step 2: Convert to fraction form
    515,027.39/772,507.24 = 177,989.63/x
  3. Step 3: Cross multiply
    515,027.39x = 772,507.24 × 177,989.63
  4. Step 4: Simplify right side
    515,027.39x = 137,498,273,512.41
  5. Step 5: Solve for x
    x = 137,498,273,512.41/515,027.39
  6. Step 6: Final answer
    x = 266,972.74

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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.