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Finding the Fourth Proportional to 388,124.46, 582,002.31 and 135,374.24

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Solution

The fourth proportional to 388,124.46, 582,002.31 and 135,374.24 is: 202,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,124.46 : 582,002.31 = 135,374.24 : x
  2. Step 2: Convert to fraction form
    388,124.46/582,002.31 = 135,374.24/x
  3. Step 3: Cross multiply
    388,124.46x = 582,002.31 × 135,374.24
  4. Step 4: Simplify right side
    388,124.46x = 78,788,119,083.39
  5. Step 5: Solve for x
    x = 78,788,119,083.39/388,124.46
  6. Step 6: Final answer
    x = 202,997.05

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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.