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Finding the Fourth Proportional to 298,715.10, 412,230.48 and 171,402.54

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Solution

The fourth proportional to 298,715.10, 412,230.48 and 171,402.54 is: 236,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,715.10 : 412,230.48 = 171,402.54 : x
  2. Step 2: Convert to fraction form
    298,715.10/412,230.48 = 171,402.54/x
  3. Step 3: Cross multiply
    298,715.10x = 412,230.48 × 171,402.54
  4. Step 4: Simplify right side
    298,715.10x = 70,657,351,337.42
  5. Step 5: Solve for x
    x = 70,657,351,337.42/298,715.10
  6. Step 6: Final answer
    x = 236,537.59

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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.