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Finding the Fourth Proportional to 708,703.57, 978,123.12 and 422,389.73

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Solution

The fourth proportional to 708,703.57, 978,123.12 and 422,389.73 is: 582,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,703.57 : 978,123.12 = 422,389.73 : x
  2. Step 2: Convert to fraction form
    708,703.57/978,123.12 = 422,389.73/x
  3. Step 3: Cross multiply
    708,703.57x = 978,123.12 × 422,389.73
  4. Step 4: Simplify right side
    708,703.57x = 413,149,160,563.56
  5. Step 5: Solve for x
    x = 413,149,160,563.56/708,703.57
  6. Step 6: Final answer
    x = 582,964.70

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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.