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Finding the Fourth Proportional to 519,879.14, 779,846.43 and 164,921.54

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Solution

The fourth proportional to 519,879.14, 779,846.43 and 164,921.54 is: 247,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,879.14 : 779,846.43 = 164,921.54 : x
  2. Step 2: Convert to fraction form
    519,879.14/779,846.43 = 164,921.54/x
  3. Step 3: Cross multiply
    519,879.14x = 779,846.43 × 164,921.54
  4. Step 4: Simplify right side
    519,879.14x = 128,613,474,199.10
  5. Step 5: Solve for x
    x = 128,613,474,199.10/519,879.14
  6. Step 6: Final answer
    x = 247,391.10

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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.