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Finding the Fourth Proportional to 298,906.30, 447,754.65 and 186,240.70

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Solution

The fourth proportional to 298,906.30, 447,754.65 and 186,240.70 is: 278,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,906.30 : 447,754.65 = 186,240.70 : x
  2. Step 2: Convert to fraction form
    298,906.30/447,754.65 = 186,240.70/x
  3. Step 3: Cross multiply
    298,906.30x = 447,754.65 × 186,240.70
  4. Step 4: Simplify right side
    298,906.30x = 83,390,139,444.26
  5. Step 5: Solve for x
    x = 83,390,139,444.26/298,906.30
  6. Step 6: Final answer
    x = 278,984.21

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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.