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Finding the Fourth Proportional to 386,857.70, 580,099.91 and 162,157.81

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Solution

The fourth proportional to 386,857.70, 580,099.91 and 162,157.81 is: 243,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,857.70 : 580,099.91 = 162,157.81 : x
  2. Step 2: Convert to fraction form
    386,857.70/580,099.91 = 162,157.81/x
  3. Step 3: Cross multiply
    386,857.70x = 580,099.91 × 162,157.81
  4. Step 4: Simplify right side
    386,857.70x = 94,067,729,215.71
  5. Step 5: Solve for x
    x = 94,067,729,215.71/386,857.70
  6. Step 6: Final answer
    x = 243,158.47

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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.