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Finding the Fourth Proportional to 256,168.40, 383,815.20 and 162,564.80

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Solution

The fourth proportional to 256,168.40, 383,815.20 and 162,564.80 is: 243,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,168.40 : 383,815.20 = 162,564.80 : x
  2. Step 2: Convert to fraction form
    256,168.40/383,815.20 = 162,564.80/x
  3. Step 3: Cross multiply
    256,168.40x = 383,815.20 × 162,564.80
  4. Step 4: Simplify right side
    256,168.40x = 62,394,841,224.96
  5. Step 5: Solve for x
    x = 62,394,841,224.96/256,168.40
  6. Step 6: Final answer
    x = 243,569.63

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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.