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Finding the Fourth Proportional to 304,731, 420,389.24 and 197,335.62

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Solution

The fourth proportional to 304,731, 420,389.24 and 197,335.62 is: 272,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,731 : 420,389.24 = 197,335.62 : x
  2. Step 2: Convert to fraction form
    304,731/420,389.24 = 197,335.62/x
  3. Step 3: Cross multiply
    304,731x = 420,389.24 × 197,335.62
  4. Step 4: Simplify right side
    304,731x = 82,957,770,330.05
  5. Step 5: Solve for x
    x = 82,957,770,330.05/304,731
  6. Step 6: Final answer
    x = 272,232.79

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1.5x scale

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.