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Finding the Fourth Proportional to 298,124.72, 411,412.11 and 170,874.12

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Solution

The fourth proportional to 298,124.72, 411,412.11 and 170,874.12 is: 235,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,124.72 : 411,412.11 = 170,874.12 : x
  2. Step 2: Convert to fraction form
    298,124.72/411,412.11 = 170,874.12/x
  3. Step 3: Cross multiply
    298,124.72x = 411,412.11 × 170,874.12
  4. Step 4: Simplify right side
    298,124.72x = 70,299,684,116.78
  5. Step 5: Solve for x
    x = 70,299,684,116.78/298,124.72
  6. Step 6: Final answer
    x = 235,806.29

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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.