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Finding the Fourth Proportional to 321,869.20, 482,803.80 and 202,021.60

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Solution

The fourth proportional to 321,869.20, 482,803.80 and 202,021.60 is: 303,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,869.20 : 482,803.80 = 202,021.60 : x
  2. Step 2: Convert to fraction form
    321,869.20/482,803.80 = 202,021.60/x
  3. Step 3: Cross multiply
    321,869.20x = 482,803.80 × 202,021.60
  4. Step 4: Simplify right side
    321,869.20x = 97,536,796,162.08
  5. Step 5: Solve for x
    x = 97,536,796,162.08/321,869.20
  6. Step 6: Final answer
    x = 303,032.40

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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.