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Finding the Fourth Proportional to 304,847.44, 420,549.68 and 197,452

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Solution

The fourth proportional to 304,847.44, 420,549.68 and 197,452 is: 272,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,847.44 : 420,549.68 = 197,452 : x
  2. Step 2: Convert to fraction form
    304,847.44/420,549.68 = 197,452/x
  3. Step 3: Cross multiply
    304,847.44x = 420,549.68 × 197,452
  4. Step 4: Simplify right side
    304,847.44x = 83,038,375,415.36
  5. Step 5: Solve for x
    x = 83,038,375,415.36/304,847.44
  6. Step 6: Final answer
    x = 272,393.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.