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Finding the Fourth Proportional to 298,405.76, 447,623.52 and 85,205.30

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Solution

The fourth proportional to 298,405.76, 447,623.52 and 85,205.30 is: 127,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,405.76 : 447,623.52 = 85,205.30 : x
  2. Step 2: Convert to fraction form
    298,405.76/447,623.52 = 85,205.30/x
  3. Step 3: Cross multiply
    298,405.76x = 447,623.52 × 85,205.30
  4. Step 4: Simplify right side
    298,405.76x = 38,139,895,882.63
  5. Step 5: Solve for x
    x = 38,139,895,882.63/298,405.76
  6. Step 6: Final answer
    x = 127,812.20

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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.