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Finding the Fourth Proportional to 709,317.60, 978,724 and 422,864.32

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Solution

The fourth proportional to 709,317.60, 978,724 and 422,864.32 is: 583,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,317.60 : 978,724 = 422,864.32 : x
  2. Step 2: Convert to fraction form
    709,317.60/978,724 = 422,864.32/x
  3. Step 3: Cross multiply
    709,317.60x = 978,724 × 422,864.32
  4. Step 4: Simplify right side
    709,317.60x = 413,867,458,727.68
  5. Step 5: Solve for x
    x = 413,867,458,727.68/709,317.60
  6. Step 6: Final answer
    x = 583,472.70

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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.