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Finding the Fourth Proportional to 304,746, 420,452.22 and 197,398.32

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Solution

The fourth proportional to 304,746, 420,452.22 and 197,398.32 is: 272,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,746 : 420,452.22 = 197,398.32 : x
  2. Step 2: Convert to fraction form
    304,746/420,452.22 = 197,398.32/x
  3. Step 3: Cross multiply
    304,746x = 420,452.22 × 197,398.32
  4. Step 4: Simplify right side
    304,746x = 82,996,561,868.27
  5. Step 5: Solve for x
    x = 82,996,561,868.27/304,746
  6. Step 6: Final answer
    x = 272,346.68

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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.