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Finding the Fourth Proportional to 272,300.80, 407,644.80 and 202,489.60

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Solution

The fourth proportional to 272,300.80, 407,644.80 and 202,489.60 is: 303,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,300.80 : 407,644.80 = 202,489.60 : x
  2. Step 2: Convert to fraction form
    272,300.80/407,644.80 = 202,489.60/x
  3. Step 3: Cross multiply
    272,300.80x = 407,644.80 × 202,489.60
  4. Step 4: Simplify right side
    272,300.80x = 82,543,832,494.08
  5. Step 5: Solve for x
    x = 82,543,832,494.08/272,300.80
  6. Step 6: Final answer
    x = 303,134.74

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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.