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Finding the Fourth Proportional to 432,668.38, 649,064.06 and 133,173.91

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Solution

The fourth proportional to 432,668.38, 649,064.06 and 133,173.91 is: 199,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,668.38 : 649,064.06 = 133,173.91 : x
  2. Step 2: Convert to fraction form
    432,668.38/649,064.06 = 133,173.91/x
  3. Step 3: Cross multiply
    432,668.38x = 649,064.06 × 133,173.91
  4. Step 4: Simplify right side
    432,668.38x = 86,438,398,710.67
  5. Step 5: Solve for x
    x = 86,438,398,710.67/432,668.38
  6. Step 6: Final answer
    x = 199,779.79

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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.