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Finding the Fourth Proportional to 343,300.20, 515,096.10 and 165,715.80

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Solution

The fourth proportional to 343,300.20, 515,096.10 and 165,715.80 is: 248,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,300.20 : 515,096.10 = 165,715.80 : x
  2. Step 2: Convert to fraction form
    343,300.20/515,096.10 = 165,715.80/x
  3. Step 3: Cross multiply
    343,300.20x = 515,096.10 × 165,715.80
  4. Step 4: Simplify right side
    343,300.20x = 85,359,562,288.38
  5. Step 5: Solve for x
    x = 85,359,562,288.38/343,300.20
  6. Step 6: Final answer
    x = 248,644.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.