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Finding the Fourth Proportional to 709,056.90, 978,474.33 and 422,571.78

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Solution

The fourth proportional to 709,056.90, 978,474.33 and 422,571.78 is: 583,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,056.90 : 978,474.33 = 422,571.78 : x
  2. Step 2: Convert to fraction form
    709,056.90/978,474.33 = 422,571.78/x
  3. Step 3: Cross multiply
    709,056.90x = 978,474.33 × 422,571.78
  4. Step 4: Simplify right side
    709,056.90x = 413,475,639,312.41
  5. Step 5: Solve for x
    x = 413,475,639,312.41/709,056.90
  6. Step 6: Final answer
    x = 583,134.64

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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.