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Finding the Fourth Proportional to 312,092.16, 468,135.76 and 162,255.12

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Solution

The fourth proportional to 312,092.16, 468,135.76 and 162,255.12 is: 243,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,092.16 : 468,135.76 = 162,255.12 : x
  2. Step 2: Convert to fraction form
    312,092.16/468,135.76 = 162,255.12/x
  3. Step 3: Cross multiply
    312,092.16x = 468,135.76 × 162,255.12
  4. Step 4: Simplify right side
    312,092.16x = 75,957,423,915.09
  5. Step 5: Solve for x
    x = 75,957,423,915.09/312,092.16
  6. Step 6: Final answer
    x = 243,381.39

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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.