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Finding the Fourth Proportional to 321,865.35, 482,843.13 and 97,200.30

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Solution

The fourth proportional to 321,865.35, 482,843.13 and 97,200.30 is: 145,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,865.35 : 482,843.13 = 97,200.30 : x
  2. Step 2: Convert to fraction form
    321,865.35/482,843.13 = 97,200.30/x
  3. Step 3: Cross multiply
    321,865.35x = 482,843.13 × 97,200.30
  4. Step 4: Simplify right side
    321,865.35x = 46,932,497,088.94
  5. Step 5: Solve for x
    x = 46,932,497,088.94/321,865.35
  6. Step 6: Final answer
    x = 145,814.07

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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.