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Finding the Fourth Proportional to 388,193.96, 582,298.69 and 103,884.06

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Solution

The fourth proportional to 388,193.96, 582,298.69 and 103,884.06 is: 155,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,193.96 : 582,298.69 = 103,884.06 : x
  2. Step 2: Convert to fraction form
    388,193.96/582,298.69 = 103,884.06/x
  3. Step 3: Cross multiply
    388,193.96x = 582,298.69 × 103,884.06
  4. Step 4: Simplify right side
    388,193.96x = 60,491,551,790.17
  5. Step 5: Solve for x
    x = 60,491,551,790.17/388,193.96
  6. Step 6: Final answer
    x = 155,828.16

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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.