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Finding the Fourth Proportional to 401,084.42, 601,221.78 and 251,429.81

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Solution

The fourth proportional to 401,084.42, 601,221.78 and 251,429.81 is: 376,890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,084.42 : 601,221.78 = 251,429.81 : x
  2. Step 2: Convert to fraction form
    401,084.42/601,221.78 = 251,429.81/x
  3. Step 3: Cross multiply
    401,084.42x = 601,221.78 × 251,429.81
  4. Step 4: Simplify right side
    401,084.42x = 151,165,074,907.15
  5. Step 5: Solve for x
    x = 151,165,074,907.15/401,084.42
  6. Step 6: Final answer
    x = 376,890.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.