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Finding the Fourth Proportional to 401,278.93, 601,743.40 and 151,785.97

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Solution

The fourth proportional to 401,278.93, 601,743.40 and 151,785.97 is: 227,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,278.93 : 601,743.40 = 151,785.97 : x
  2. Step 2: Convert to fraction form
    401,278.93/601,743.40 = 151,785.97/x
  3. Step 3: Cross multiply
    401,278.93x = 601,743.40 × 151,785.97
  4. Step 4: Simplify right side
    401,278.93x = 91,336,203,776.27
  5. Step 5: Solve for x
    x = 91,336,203,776.27/401,278.93
  6. Step 6: Final answer
    x = 227,612.76

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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.