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Finding the Fourth Proportional to 708,964.92, 978,203.31 and 403,017.12

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Solution

The fourth proportional to 708,964.92, 978,203.31 and 403,017.12 is: 556,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,964.92 : 978,203.31 = 403,017.12 : x
  2. Step 2: Convert to fraction form
    708,964.92/978,203.31 = 403,017.12/x
  3. Step 3: Cross multiply
    708,964.92x = 978,203.31 × 403,017.12
  4. Step 4: Simplify right side
    708,964.92x = 394,232,680,770.67
  5. Step 5: Solve for x
    x = 394,232,680,770.67/708,964.92
  6. Step 6: Final answer
    x = 556,067.97

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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.