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Finding the Fourth Proportional to 388,451.96, 582,537 and 135,661.64

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Solution

The fourth proportional to 388,451.96, 582,537 and 135,661.64 is: 203,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,451.96 : 582,537 = 135,661.64 : x
  2. Step 2: Convert to fraction form
    388,451.96/582,537 = 135,661.64/x
  3. Step 3: Cross multiply
    388,451.96x = 582,537 × 135,661.64
  4. Step 4: Simplify right side
    388,451.96x = 79,027,924,780.68
  5. Step 5: Solve for x
    x = 79,027,924,780.68/388,451.96
  6. Step 6: Final answer
    x = 203,443.24

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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.