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Finding the Fourth Proportional to 380,108.44, 569,768.96 and 312,841.78

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Solution

The fourth proportional to 380,108.44, 569,768.96 and 312,841.78 is: 468,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,108.44 : 569,768.96 = 312,841.78 : x
  2. Step 2: Convert to fraction form
    380,108.44/569,768.96 = 312,841.78/x
  3. Step 3: Cross multiply
    380,108.44x = 569,768.96 × 312,841.78
  4. Step 4: Simplify right side
    380,108.44x = 178,247,535,635.15
  5. Step 5: Solve for x
    x = 178,247,535,635.15/380,108.44
  6. Step 6: Final answer
    x = 468,938.64

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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.