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Finding the Fourth Proportional to 406,498.78, 609,619 and 379,963.66

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Solution

The fourth proportional to 406,498.78, 609,619 and 379,963.66 is: 569,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,498.78 : 609,619 = 379,963.66 : x
  2. Step 2: Convert to fraction form
    406,498.78/609,619 = 379,963.66/x
  3. Step 3: Cross multiply
    406,498.78x = 609,619 × 379,963.66
  4. Step 4: Simplify right side
    406,498.78x = 231,633,066,445.54
  5. Step 5: Solve for x
    x = 231,633,066,445.54/406,498.78
  6. Step 6: Final answer
    x = 569,824.75

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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.