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Finding the Fourth Proportional to 388,074, 582,111 and 107,591.25

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Solution

The fourth proportional to 388,074, 582,111 and 107,591.25 is: 161,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,074 : 582,111 = 107,591.25 : x
  2. Step 2: Convert to fraction form
    388,074/582,111 = 107,591.25/x
  3. Step 3: Cross multiply
    388,074x = 582,111 × 107,591.25
  4. Step 4: Simplify right side
    388,074x = 62,630,050,128.75
  5. Step 5: Solve for x
    x = 62,630,050,128.75/388,074
  6. Step 6: Final answer
    x = 161,386.88

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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.