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Finding the Fourth Proportional to 519,084.90, 778,481.55 and 164,207.70

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Solution

The fourth proportional to 519,084.90, 778,481.55 and 164,207.70 is: 246,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,084.90 : 778,481.55 = 164,207.70 : x
  2. Step 2: Convert to fraction form
    519,084.90/778,481.55 = 164,207.70/x
  3. Step 3: Cross multiply
    519,084.90x = 778,481.55 × 164,207.70
  4. Step 4: Simplify right side
    519,084.90x = 127,832,664,817.94
  5. Step 5: Solve for x
    x = 127,832,664,817.94/519,084.90
  6. Step 6: Final answer
    x = 246,265.43

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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.