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Finding the Fourth Proportional to 298,422.30, 447,633.45 and 265,763.10

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Solution

The fourth proportional to 298,422.30, 447,633.45 and 265,763.10 is: 398,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,422.30 : 447,633.45 = 265,763.10 : x
  2. Step 2: Convert to fraction form
    298,422.30/447,633.45 = 265,763.10/x
  3. Step 3: Cross multiply
    298,422.30x = 447,633.45 × 265,763.10
  4. Step 4: Simplify right side
    298,422.30x = 118,964,453,335.70
  5. Step 5: Solve for x
    x = 118,964,453,335.70/298,422.30
  6. Step 6: Final answer
    x = 398,644.65

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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.