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Finding the Fourth Proportional to 298,273.80, 411,624.88 and 169,221

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Solution

The fourth proportional to 298,273.80, 411,624.88 and 169,221 is: 233,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,273.80 : 411,624.88 = 169,221 : x
  2. Step 2: Convert to fraction form
    298,273.80/411,624.88 = 169,221/x
  3. Step 3: Cross multiply
    298,273.80x = 411,624.88 × 169,221
  4. Step 4: Simplify right side
    298,273.80x = 69,655,573,818.48
  5. Step 5: Solve for x
    x = 69,655,573,818.48/298,273.80
  6. Step 6: Final answer
    x = 233,528.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.