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Finding the Fourth Proportional to 414,571.95, 571,906.31 and 253,147.66

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Solution

The fourth proportional to 414,571.95, 571,906.31 and 253,147.66 is: 349,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,571.95 : 571,906.31 = 253,147.66 : x
  2. Step 2: Convert to fraction form
    414,571.95/571,906.31 = 253,147.66/x
  3. Step 3: Cross multiply
    414,571.95x = 571,906.31 × 253,147.66
  4. Step 4: Simplify right side
    414,571.95x = 144,776,741,420.23
  5. Step 5: Solve for x
    x = 144,776,741,420.23/414,571.95
  6. Step 6: Final answer
    x = 349,219.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.