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Finding the Fourth Proportional to 354,503.20, 531,754.80 and 323,399.20

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Solution

The fourth proportional to 354,503.20, 531,754.80 and 323,399.20 is: 485,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,503.20 : 531,754.80 = 323,399.20 : x
  2. Step 2: Convert to fraction form
    354,503.20/531,754.80 = 323,399.20/x
  3. Step 3: Cross multiply
    354,503.20x = 531,754.80 × 323,399.20
  4. Step 4: Simplify right side
    354,503.20x = 171,969,076,916.16
  5. Step 5: Solve for x
    x = 171,969,076,916.16/354,503.20
  6. Step 6: Final answer
    x = 485,098.80

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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.