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Finding the Fourth Proportional to 515,443.92, 772,855.18 and 231,083

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Solution

The fourth proportional to 515,443.92, 772,855.18 and 231,083 is: 346,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,443.92 : 772,855.18 = 231,083 : x
  2. Step 2: Convert to fraction form
    515,443.92/772,855.18 = 231,083/x
  3. Step 3: Cross multiply
    515,443.92x = 772,855.18 × 231,083
  4. Step 4: Simplify right side
    515,443.92x = 178,593,693,559.94
  5. Step 5: Solve for x
    x = 178,593,693,559.94/515,443.92
  6. Step 6: Final answer
    x = 346,485.21

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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.