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Finding the Fourth Proportional to 302,538.80, 453,905.40 and 202,811.60

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Solution

The fourth proportional to 302,538.80, 453,905.40 and 202,811.60 is: 304,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,538.80 : 453,905.40 = 202,811.60 : x
  2. Step 2: Convert to fraction form
    302,538.80/453,905.40 = 202,811.60/x
  3. Step 3: Cross multiply
    302,538.80x = 453,905.40 × 202,811.60
  4. Step 4: Simplify right side
    302,538.80x = 92,057,280,422.64
  5. Step 5: Solve for x
    x = 92,057,280,422.64/302,538.80
  6. Step 6: Final answer
    x = 304,282.56

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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.