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Finding the Fourth Proportional to 414,410.31, 571,956.63 and 306,077.34

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Solution

The fourth proportional to 414,410.31, 571,956.63 and 306,077.34 is: 422,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,410.31 : 571,956.63 = 306,077.34 : x
  2. Step 2: Convert to fraction form
    414,410.31/571,956.63 = 306,077.34/x
  3. Step 3: Cross multiply
    414,410.31x = 571,956.63 × 306,077.34
  4. Step 4: Simplify right side
    414,410.31x = 175,062,963,905.76
  5. Step 5: Solve for x
    x = 175,062,963,905.76/414,410.31
  6. Step 6: Final answer
    x = 422,438.73

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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.