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Finding the Fourth Proportional to 406,935.76, 561,456.81 and 320,627.17

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Solution

The fourth proportional to 406,935.76, 561,456.81 and 320,627.17 is: 442,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,935.76 : 561,456.81 = 320,627.17 : x
  2. Step 2: Convert to fraction form
    406,935.76/561,456.81 = 320,627.17/x
  3. Step 3: Cross multiply
    406,935.76x = 561,456.81 × 320,627.17
  4. Step 4: Simplify right side
    406,935.76x = 180,018,308,067.53
  5. Step 5: Solve for x
    x = 180,018,308,067.53/406,935.76
  6. Step 6: Final answer
    x = 442,375.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.