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Finding the Fourth Proportional to 320,136.40, 480,505.92 and 162,478

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Solution

The fourth proportional to 320,136.40, 480,505.92 and 162,478 is: 243,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,136.40 : 480,505.92 = 162,478 : x
  2. Step 2: Convert to fraction form
    320,136.40/480,505.92 = 162,478/x
  3. Step 3: Cross multiply
    320,136.40x = 480,505.92 × 162,478
  4. Step 4: Simplify right side
    320,136.40x = 78,071,640,869.76
  5. Step 5: Solve for x
    x = 78,071,640,869.76/320,136.40
  6. Step 6: Final answer
    x = 243,869.93

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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.