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Finding the Fourth Proportional to 519,112.89, 778,664.75 and 164,127.15

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Solution

The fourth proportional to 519,112.89, 778,664.75 and 164,127.15 is: 246,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,112.89 : 778,664.75 = 164,127.15 : x
  2. Step 2: Convert to fraction form
    519,112.89/778,664.75 = 164,127.15/x
  3. Step 3: Cross multiply
    519,112.89x = 778,664.75 × 164,127.15
  4. Step 4: Simplify right side
    519,112.89x = 127,800,025,402.33
  5. Step 5: Solve for x
    x = 127,800,025,402.33/519,112.89
  6. Step 6: Final answer
    x = 246,189.27

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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.