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Finding the Fourth Proportional to 304,809.46, 420,546.06 and 197,209.06

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Solution

The fourth proportional to 304,809.46, 420,546.06 and 197,209.06 is: 272,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,809.46 : 420,546.06 = 197,209.06 : x
  2. Step 2: Convert to fraction form
    304,809.46/420,546.06 = 197,209.06/x
  3. Step 3: Cross multiply
    304,809.46x = 420,546.06 × 197,209.06
  4. Step 4: Simplify right side
    304,809.46x = 82,935,493,179.30
  5. Step 5: Solve for x
    x = 82,935,493,179.30/304,809.46
  6. Step 6: Final answer
    x = 272,089.63

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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.