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Finding the Fourth Proportional to 407,687.34, 611,604.48 and 167,758.86

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Solution

The fourth proportional to 407,687.34, 611,604.48 and 167,758.86 is: 251,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,687.34 : 611,604.48 = 167,758.86 : x
  2. Step 2: Convert to fraction form
    407,687.34/611,604.48 = 167,758.86/x
  3. Step 3: Cross multiply
    407,687.34x = 611,604.48 × 167,758.86
  4. Step 4: Simplify right side
    407,687.34x = 102,602,070,335.69
  5. Step 5: Solve for x
    x = 102,602,070,335.69/407,687.34
  6. Step 6: Final answer
    x = 251,668.52

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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.