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Finding the Fourth Proportional to 406,978.32, 561,516.28 and 237,179.64

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Solution

The fourth proportional to 406,978.32, 561,516.28 and 237,179.64 is: 327,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,978.32 : 561,516.28 = 237,179.64 : x
  2. Step 2: Convert to fraction form
    406,978.32/561,516.28 = 237,179.64/x
  3. Step 3: Cross multiply
    406,978.32x = 561,516.28 × 237,179.64
  4. Step 4: Simplify right side
    406,978.32x = 133,180,229,144.54
  5. Step 5: Solve for x
    x = 133,180,229,144.54/406,978.32
  6. Step 6: Final answer
    x = 327,241.58

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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.