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Finding the Fourth Proportional to 262,807.77, 394,273.59 and 85,301.13

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Solution

The fourth proportional to 262,807.77, 394,273.59 and 85,301.13 is: 127,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,807.77 : 394,273.59 = 85,301.13 : x
  2. Step 2: Convert to fraction form
    262,807.77/394,273.59 = 85,301.13/x
  3. Step 3: Cross multiply
    262,807.77x = 394,273.59 × 85,301.13
  4. Step 4: Simplify right side
    262,807.77x = 33,631,982,756.16
  5. Step 5: Solve for x
    x = 33,631,982,756.16/262,807.77
  6. Step 6: Final answer
    x = 127,971.80

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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.