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Finding the Fourth Proportional to 256,347.35, 384,564.76 and 78,850.43

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Solution

The fourth proportional to 256,347.35, 384,564.76 and 78,850.43 is: 118,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,347.35 : 384,564.76 = 78,850.43 : x
  2. Step 2: Convert to fraction form
    256,347.35/384,564.76 = 78,850.43/x
  3. Step 3: Cross multiply
    256,347.35x = 384,564.76 × 78,850.43
  4. Step 4: Simplify right side
    256,347.35x = 30,323,096,688.85
  5. Step 5: Solve for x
    x = 30,323,096,688.85/256,347.35
  6. Step 6: Final answer
    x = 118,289.10

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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.