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Finding the Fourth Proportional to 388,178.56, 582,264.60 and 107,695.84

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Solution

The fourth proportional to 388,178.56, 582,264.60 and 107,695.84 is: 161,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,178.56 : 582,264.60 = 107,695.84 : x
  2. Step 2: Convert to fraction form
    388,178.56/582,264.60 = 107,695.84/x
  3. Step 3: Cross multiply
    388,178.56x = 582,264.60 × 107,695.84
  4. Step 4: Simplify right side
    388,178.56x = 62,707,475,199.26
  5. Step 5: Solve for x
    x = 62,707,475,199.26/388,178.56
  6. Step 6: Final answer
    x = 161,542.86

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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.