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Finding the Fourth Proportional to 414,687.36, 572,544 and 319,025.28

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Solution

The fourth proportional to 414,687.36, 572,544 and 319,025.28 is: 440,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,687.36 : 572,544 = 319,025.28 : x
  2. Step 2: Convert to fraction form
    414,687.36/572,544 = 319,025.28/x
  3. Step 3: Cross multiply
    414,687.36x = 572,544 × 319,025.28
  4. Step 4: Simplify right side
    414,687.36x = 182,656,009,912.32
  5. Step 5: Solve for x
    x = 182,656,009,912.32/414,687.36
  6. Step 6: Final answer
    x = 440,466.79

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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.