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Finding the Fourth Proportional to 708,924.56, 978,281.40 and 422,438.24

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Solution

The fourth proportional to 708,924.56, 978,281.40 and 422,438.24 is: 582,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,924.56 : 978,281.40 = 422,438.24 : x
  2. Step 2: Convert to fraction form
    708,924.56/978,281.40 = 422,438.24/x
  3. Step 3: Cross multiply
    708,924.56x = 978,281.40 × 422,438.24
  4. Step 4: Simplify right side
    708,924.56x = 413,263,472,840.74
  5. Step 5: Solve for x
    x = 413,263,472,840.74/708,924.56
  6. Step 6: Final answer
    x = 582,944.22

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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.