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Finding the Fourth Proportional to 709,078.54, 978,504.14 and 422,593.42

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Solution

The fourth proportional to 709,078.54, 978,504.14 and 422,593.42 is: 583,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,078.54 : 978,504.14 = 422,593.42 : x
  2. Step 2: Convert to fraction form
    709,078.54/978,504.14 = 422,593.42/x
  3. Step 3: Cross multiply
    709,078.54x = 978,504.14 × 422,593.42
  4. Step 4: Simplify right side
    709,078.54x = 413,509,411,006.76
  5. Step 5: Solve for x
    x = 413,509,411,006.76/709,078.54
  6. Step 6: Final answer
    x = 583,164.47

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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.