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Finding the Fourth Proportional to 298,540.91, 411,982.35 and 169,478.25

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Solution

The fourth proportional to 298,540.91, 411,982.35 and 169,478.25 is: 233,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,540.91 : 411,982.35 = 169,478.25 : x
  2. Step 2: Convert to fraction form
    298,540.91/411,982.35 = 169,478.25/x
  3. Step 3: Cross multiply
    298,540.91x = 411,982.35 × 169,478.25
  4. Step 4: Simplify right side
    298,540.91x = 69,822,047,708.89
  5. Step 5: Solve for x
    x = 69,822,047,708.89/298,540.91
  6. Step 6: Final answer
    x = 233,877.66

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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.