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Finding the Fourth Proportional to 518,578, 777,998.22 and 144,601

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Solution

The fourth proportional to 518,578, 777,998.22 and 144,601 is: 216,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,578 : 777,998.22 = 144,601 : x
  2. Step 2: Convert to fraction form
    518,578/777,998.22 = 144,601/x
  3. Step 3: Cross multiply
    518,578x = 777,998.22 × 144,601
  4. Step 4: Simplify right side
    518,578x = 112,499,320,610.22
  5. Step 5: Solve for x
    x = 112,499,320,610.22/518,578
  6. Step 6: Final answer
    x = 216,938.09

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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.