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Finding the Fourth Proportional to 709,229.60, 978,602.96 and 422,776.40

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Solution

The fourth proportional to 709,229.60, 978,602.96 and 422,776.40 is: 583,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,229.60 : 978,602.96 = 422,776.40 : x
  2. Step 2: Convert to fraction form
    709,229.60/978,602.96 = 422,776.40/x
  3. Step 3: Cross multiply
    709,229.60x = 978,602.96 × 422,776.40
  4. Step 4: Simplify right side
    709,229.60x = 413,730,236,458.14
  5. Step 5: Solve for x
    x = 413,730,236,458.14/709,229.60
  6. Step 6: Final answer
    x = 583,351.62

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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.