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Finding the Fourth Proportional to 302,461.20, 453,691.80 and 269,218.80

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Solution

The fourth proportional to 302,461.20, 453,691.80 and 269,218.80 is: 403,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,461.20 : 453,691.80 = 269,218.80 : x
  2. Step 2: Convert to fraction form
    302,461.20/453,691.80 = 269,218.80/x
  3. Step 3: Cross multiply
    302,461.20x = 453,691.80 × 269,218.80
  4. Step 4: Simplify right side
    302,461.20x = 122,142,361,965.84
  5. Step 5: Solve for x
    x = 122,142,361,965.84/302,461.20
  6. Step 6: Final answer
    x = 403,828.20

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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.