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Finding the Fourth Proportional to 561,229.32, 774,467.55 and 306,531.30

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Solution

The fourth proportional to 561,229.32, 774,467.55 and 306,531.30 is: 422,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,229.32 : 774,467.55 = 306,531.30 : x
  2. Step 2: Convert to fraction form
    561,229.32/774,467.55 = 306,531.30/x
  3. Step 3: Cross multiply
    561,229.32x = 774,467.55 × 306,531.30
  4. Step 4: Simplify right side
    561,229.32x = 237,398,544,909.32
  5. Step 5: Solve for x
    x = 237,398,544,909.32/561,229.32
  6. Step 6: Final answer
    x = 422,997.40

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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.