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Finding the Fourth Proportional to 411,163.68, 616,978.80 and 162,020.64

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Solution

The fourth proportional to 411,163.68, 616,978.80 and 162,020.64 is: 243,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,163.68 : 616,978.80 = 162,020.64 : x
  2. Step 2: Convert to fraction form
    411,163.68/616,978.80 = 162,020.64/x
  3. Step 3: Cross multiply
    411,163.68x = 616,978.80 × 162,020.64
  4. Step 4: Simplify right side
    411,163.68x = 99,963,300,042.43
  5. Step 5: Solve for x
    x = 99,963,300,042.43/411,163.68
  6. Step 6: Final answer
    x = 243,122.88

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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.