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Finding the Fourth Proportional to 401,115.09, 601,295.76 and 134,688.72

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Solution

The fourth proportional to 401,115.09, 601,295.76 and 134,688.72 is: 201,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,115.09 : 601,295.76 = 134,688.72 : x
  2. Step 2: Convert to fraction form
    401,115.09/601,295.76 = 134,688.72/x
  3. Step 3: Cross multiply
    401,115.09x = 601,295.76 × 134,688.72
  4. Step 4: Simplify right side
    401,115.09x = 80,987,756,255.83
  5. Step 5: Solve for x
    x = 80,987,756,255.83/401,115.09
  6. Step 6: Final answer
    x = 201,906.53

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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.