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Finding the Fourth Proportional to 422,714.32, 583,405.82 and 261,621.25

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Solution

The fourth proportional to 422,714.32, 583,405.82 and 261,621.25 is: 361,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,714.32 : 583,405.82 = 261,621.25 : x
  2. Step 2: Convert to fraction form
    422,714.32/583,405.82 = 261,621.25/x
  3. Step 3: Cross multiply
    422,714.32x = 583,405.82 × 261,621.25
  4. Step 4: Simplify right side
    422,714.32x = 152,631,359,885.68
  5. Step 5: Solve for x
    x = 152,631,359,885.68/422,714.32
  6. Step 6: Final answer
    x = 361,074.50

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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.