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Finding the Fourth Proportional to 356,321.60, 491,765.28 and 205,424

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Solution

The fourth proportional to 356,321.60, 491,765.28 and 205,424 is: 283,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,321.60 : 491,765.28 = 205,424 : x
  2. Step 2: Convert to fraction form
    356,321.60/491,765.28 = 205,424/x
  3. Step 3: Cross multiply
    356,321.60x = 491,765.28 × 205,424
  4. Step 4: Simplify right side
    356,321.60x = 101,020,390,878.72
  5. Step 5: Solve for x
    x = 101,020,390,878.72/356,321.60
  6. Step 6: Final answer
    x = 283,509.03

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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.