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Finding the Fourth Proportional to 389,546.82, 537,575.13 and 219,796.74

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Solution

The fourth proportional to 389,546.82, 537,575.13 and 219,796.74 is: 303,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,546.82 : 537,575.13 = 219,796.74 : x
  2. Step 2: Convert to fraction form
    389,546.82/537,575.13 = 219,796.74/x
  3. Step 3: Cross multiply
    389,546.82x = 537,575.13 × 219,796.74
  4. Step 4: Simplify right side
    389,546.82x = 118,157,261,079.08
  5. Step 5: Solve for x
    x = 118,157,261,079.08/389,546.82
  6. Step 6: Final answer
    x = 303,319.79

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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.