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Finding the Fourth Proportional to 392,863.28, 589,588.40 and 266,203.20

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Solution

The fourth proportional to 392,863.28, 589,588.40 and 266,203.20 is: 399,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,863.28 : 589,588.40 = 266,203.20 : x
  2. Step 2: Convert to fraction form
    392,863.28/589,588.40 = 266,203.20/x
  3. Step 3: Cross multiply
    392,863.28x = 589,588.40 × 266,203.20
  4. Step 4: Simplify right side
    392,863.28x = 156,950,318,762.88
  5. Step 5: Solve for x
    x = 156,950,318,762.88/392,863.28
  6. Step 6: Final answer
    x = 399,503.66

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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.