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Finding the Fourth Proportional to 457,222.56, 685,879.20 and 191,066.28

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Solution

The fourth proportional to 457,222.56, 685,879.20 and 191,066.28 is: 286,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,222.56 : 685,879.20 = 191,066.28 : x
  2. Step 2: Convert to fraction form
    457,222.56/685,879.20 = 191,066.28/x
  3. Step 3: Cross multiply
    457,222.56x = 685,879.20 × 191,066.28
  4. Step 4: Simplify right side
    457,222.56x = 131,048,387,273.38
  5. Step 5: Solve for x
    x = 131,048,387,273.38/457,222.56
  6. Step 6: Final answer
    x = 286,618.38

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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.