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Finding the Fourth Proportional to 516,980.10, 775,470.42 and 162,021.77

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Solution

The fourth proportional to 516,980.10, 775,470.42 and 162,021.77 is: 243,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,980.10 : 775,470.42 = 162,021.77 : x
  2. Step 2: Convert to fraction form
    516,980.10/775,470.42 = 162,021.77/x
  3. Step 3: Cross multiply
    516,980.10x = 775,470.42 × 162,021.77
  4. Step 4: Simplify right side
    516,980.10x = 125,643,086,153.69
  5. Step 5: Solve for x
    x = 125,643,086,153.69/516,980.10
  6. Step 6: Final answer
    x = 243,032.73

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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.