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Finding the Fourth Proportional to 406,495.78, 609,614.50 and 379,960.65

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Solution

The fourth proportional to 406,495.78, 609,614.50 and 379,960.65 is: 569,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,495.78 : 609,614.50 = 379,960.65 : x
  2. Step 2: Convert to fraction form
    406,495.78/609,614.50 = 379,960.65/x
  3. Step 3: Cross multiply
    406,495.78x = 609,614.50 × 379,960.65
  4. Step 4: Simplify right side
    406,495.78x = 231,629,521,669.43
  5. Step 5: Solve for x
    x = 231,629,521,669.43/406,495.78
  6. Step 6: Final answer
    x = 569,820.24

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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.