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Finding the Fourth Proportional to 304,851.44, 420,555.20 and 197,456

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Solution

The fourth proportional to 304,851.44, 420,555.20 and 197,456 is: 272,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,851.44 : 420,555.20 = 197,456 : x
  2. Step 2: Convert to fraction form
    304,851.44/420,555.20 = 197,456/x
  3. Step 3: Cross multiply
    304,851.44x = 420,555.20 × 197,456
  4. Step 4: Simplify right side
    304,851.44x = 83,041,147,571.20
  5. Step 5: Solve for x
    x = 83,041,147,571.20/304,851.44
  6. Step 6: Final answer
    x = 272,398.74

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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.