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Finding the Fourth Proportional to 298,461.80, 447,710.18 and 85,213.31

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Solution

The fourth proportional to 298,461.80, 447,710.18 and 85,213.31 is: 127,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,461.80 : 447,710.18 = 85,213.31 : x
  2. Step 2: Convert to fraction form
    298,461.80/447,710.18 = 85,213.31/x
  3. Step 3: Cross multiply
    298,461.80x = 447,710.18 × 85,213.31
  4. Step 4: Simplify right side
    298,461.80x = 38,150,863,693.88
  5. Step 5: Solve for x
    x = 38,150,863,693.88/298,461.80
  6. Step 6: Final answer
    x = 127,824.95

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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.