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Finding the Fourth Proportional to 298,088.28, 411,363.54 and 162,123.84

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Solution

The fourth proportional to 298,088.28, 411,363.54 and 162,123.84 is: 223,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,088.28 : 411,363.54 = 162,123.84 : x
  2. Step 2: Convert to fraction form
    298,088.28/411,363.54 = 162,123.84/x
  3. Step 3: Cross multiply
    298,088.28x = 411,363.54 × 162,123.84
  4. Step 4: Simplify right side
    298,088.28x = 66,691,836,740.79
  5. Step 5: Solve for x
    x = 66,691,836,740.79/298,088.28
  6. Step 6: Final answer
    x = 223,731.83

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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.