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Finding the Fourth Proportional to 304,730.52, 420,388.49 and 197,335.14

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Solution

The fourth proportional to 304,730.52, 420,388.49 and 197,335.14 is: 272,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,730.52 : 420,388.49 = 197,335.14 : x
  2. Step 2: Convert to fraction form
    304,730.52/420,388.49 = 197,335.14/x
  3. Step 3: Cross multiply
    304,730.52x = 420,388.49 × 197,335.14
  4. Step 4: Simplify right side
    304,730.52x = 82,957,420,541.86
  5. Step 5: Solve for x
    x = 82,957,420,541.86/304,730.52
  6. Step 6: Final answer
    x = 272,232.07

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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.