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Finding the Fourth Proportional to 298,141.68, 447,215.18 and 84,909.40

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Solution

The fourth proportional to 298,141.68, 447,215.18 and 84,909.40 is: 127,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,141.68 : 447,215.18 = 84,909.40 : x
  2. Step 2: Convert to fraction form
    298,141.68/447,215.18 = 84,909.40/x
  3. Step 3: Cross multiply
    298,141.68x = 447,215.18 × 84,909.40
  4. Step 4: Simplify right side
    298,141.68x = 37,972,772,604.69
  5. Step 5: Solve for x
    x = 37,972,772,604.69/298,141.68
  6. Step 6: Final answer
    x = 127,364.86

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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.