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Finding the Fourth Proportional to 709,289.28, 978,838.56 and 422,832.96

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Solution

The fourth proportional to 709,289.28, 978,838.56 and 422,832.96 is: 583,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,289.28 : 978,838.56 = 422,832.96 : x
  2. Step 2: Convert to fraction form
    709,289.28/978,838.56 = 422,832.96/x
  3. Step 3: Cross multiply
    709,289.28x = 978,838.56 × 422,832.96
  4. Step 4: Simplify right side
    709,289.28x = 413,885,205,686.94
  5. Step 5: Solve for x
    x = 413,885,205,686.94/709,289.28
  6. Step 6: Final answer
    x = 583,521.02

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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.