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Finding the Fourth Proportional to 356,269.74, 491,642.59 and 203,305.11

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Solution

The fourth proportional to 356,269.74, 491,642.59 and 203,305.11 is: 280,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,269.74 : 491,642.59 = 203,305.11 : x
  2. Step 2: Convert to fraction form
    356,269.74/491,642.59 = 203,305.11/x
  3. Step 3: Cross multiply
    356,269.74x = 491,642.59 × 203,305.11
  4. Step 4: Simplify right side
    356,269.74x = 99,953,452,938.43
  5. Step 5: Solve for x
    x = 99,953,452,938.43/356,269.74
  6. Step 6: Final answer
    x = 280,555.55

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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.