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Finding the Fourth Proportional to 392,002.80, 587,399.40 and 291,692.40

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Solution

The fourth proportional to 392,002.80, 587,399.40 and 291,692.40 is: 437,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,002.80 : 587,399.40 = 291,692.40 : x
  2. Step 2: Convert to fraction form
    392,002.80/587,399.40 = 291,692.40/x
  3. Step 3: Cross multiply
    392,002.80x = 587,399.40 × 291,692.40
  4. Step 4: Simplify right side
    392,002.80x = 171,339,940,744.56
  5. Step 5: Solve for x
    x = 171,339,940,744.56/392,002.80
  6. Step 6: Final answer
    x = 437,088.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.