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Finding the Fourth Proportional to 401,234.42, 553,699.89 and 219,956.66

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Solution

The fourth proportional to 401,234.42, 553,699.89 and 219,956.66 is: 303,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,234.42 : 553,699.89 = 219,956.66 : x
  2. Step 2: Convert to fraction form
    401,234.42/553,699.89 = 219,956.66/x
  3. Step 3: Cross multiply
    401,234.42x = 553,699.89 × 219,956.66
  4. Step 4: Simplify right side
    401,234.42x = 121,789,978,446.77
  5. Step 5: Solve for x
    x = 121,789,978,446.77/401,234.42
  6. Step 6: Final answer
    x = 303,538.21

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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.