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Finding the Fourth Proportional to 321,847.40, 482,943.90 and 134,877.80

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Solution

The fourth proportional to 321,847.40, 482,943.90 and 134,877.80 is: 202,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,847.40 : 482,943.90 = 134,877.80 : x
  2. Step 2: Convert to fraction form
    321,847.40/482,943.90 = 134,877.80/x
  3. Step 3: Cross multiply
    321,847.40x = 482,943.90 × 134,877.80
  4. Step 4: Simplify right side
    321,847.40x = 65,138,410,755.42
  5. Step 5: Solve for x
    x = 65,138,410,755.42/321,847.40
  6. Step 6: Final answer
    x = 202,389.12

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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.