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Finding the Fourth Proportional to 304,311.30, 456,078.15 and 221,108.10

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Solution

The fourth proportional to 304,311.30, 456,078.15 and 221,108.10 is: 331,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,311.30 : 456,078.15 = 221,108.10 : x
  2. Step 2: Convert to fraction form
    304,311.30/456,078.15 = 221,108.10/x
  3. Step 3: Cross multiply
    304,311.30x = 456,078.15 × 221,108.10
  4. Step 4: Simplify right side
    304,311.30x = 100,842,573,198.02
  5. Step 5: Solve for x
    x = 100,842,573,198.02/304,311.30
  6. Step 6: Final answer
    x = 331,379.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.