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Finding the Fourth Proportional to 304,463.96, 420,020.08 and 197,068.50

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Solution

The fourth proportional to 304,463.96, 420,020.08 and 197,068.50 is: 271,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,463.96 : 420,020.08 = 197,068.50 : x
  2. Step 2: Convert to fraction form
    304,463.96/420,020.08 = 197,068.50/x
  3. Step 3: Cross multiply
    304,463.96x = 420,020.08 × 197,068.50
  4. Step 4: Simplify right side
    304,463.96x = 82,772,727,135.48
  5. Step 5: Solve for x
    x = 82,772,727,135.48/304,463.96
  6. Step 6: Final answer
    x = 271,863.79

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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.