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Finding the Fourth Proportional to 320,098.11, 480,448.62 and 162,439.71

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Solution

The fourth proportional to 320,098.11, 480,448.62 and 162,439.71 is: 243,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,098.11 : 480,448.62 = 162,439.71 : x
  2. Step 2: Convert to fraction form
    320,098.11/480,448.62 = 162,439.71/x
  3. Step 3: Cross multiply
    320,098.11x = 480,448.62 × 162,439.71
  4. Step 4: Simplify right side
    320,098.11x = 78,043,934,502.70
  5. Step 5: Solve for x
    x = 78,043,934,502.70/320,098.11
  6. Step 6: Final answer
    x = 243,812.54

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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.