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Finding the Fourth Proportional to 519,351.45, 778,949.06 and 164,319.33

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Solution

The fourth proportional to 519,351.45, 778,949.06 and 164,319.33 is: 246,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,351.45 : 778,949.06 = 164,319.33 : x
  2. Step 2: Convert to fraction form
    519,351.45/778,949.06 = 164,319.33/x
  3. Step 3: Cross multiply
    519,351.45x = 778,949.06 × 164,319.33
  4. Step 4: Simplify right side
    519,351.45x = 127,996,389,742.79
  5. Step 5: Solve for x
    x = 127,996,389,742.79/519,351.45
  6. Step 6: Final answer
    x = 246,454.29

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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.