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Finding the Fourth Proportional to 356,425.75, 491,746.44 and 203,353.98

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Solution

The fourth proportional to 356,425.75, 491,746.44 and 203,353.98 is: 280,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,425.75 : 491,746.44 = 203,353.98 : x
  2. Step 2: Convert to fraction form
    356,425.75/491,746.44 = 203,353.98/x
  3. Step 3: Cross multiply
    356,425.75x = 491,746.44 × 203,353.98
  4. Step 4: Simplify right side
    356,425.75x = 99,998,595,724.83
  5. Step 5: Solve for x
    x = 99,998,595,724.83/356,425.75
  6. Step 6: Final answer
    x = 280,559.40

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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.