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Finding the Fourth Proportional to 411,171.68, 616,990.80 and 162,028.64

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Solution

The fourth proportional to 411,171.68, 616,990.80 and 162,028.64 is: 243,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,171.68 : 616,990.80 = 162,028.64 : x
  2. Step 2: Convert to fraction form
    411,171.68/616,990.80 = 162,028.64/x
  3. Step 3: Cross multiply
    411,171.68x = 616,990.80 × 162,028.64
  4. Step 4: Simplify right side
    411,171.68x = 99,970,180,216.51
  5. Step 5: Solve for x
    x = 99,970,180,216.51/411,171.68
  6. Step 6: Final answer
    x = 243,134.89

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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.