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Finding the Fourth Proportional to 356,162.98, 491,518.14 and 203,226.06

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Solution

The fourth proportional to 356,162.98, 491,518.14 and 203,226.06 is: 280,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,162.98 : 491,518.14 = 203,226.06 : x
  2. Step 2: Convert to fraction form
    356,162.98/491,518.14 = 203,226.06/x
  3. Step 3: Cross multiply
    356,162.98x = 491,518.14 × 203,226.06
  4. Step 4: Simplify right side
    356,162.98x = 99,889,295,010.73
  5. Step 5: Solve for x
    x = 99,889,295,010.73/356,162.98
  6. Step 6: Final answer
    x = 280,459.51

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1.5x scale

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.