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Finding the Fourth Proportional to 307,573.52, 461,319.74 and 91,427.66

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Solution

The fourth proportional to 307,573.52, 461,319.74 and 91,427.66 is: 137,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,573.52 : 461,319.74 = 91,427.66 : x
  2. Step 2: Convert to fraction form
    307,573.52/461,319.74 = 91,427.66/x
  3. Step 3: Cross multiply
    307,573.52x = 461,319.74 × 91,427.66
  4. Step 4: Simplify right side
    307,573.52x = 42,177,384,340.01
  5. Step 5: Solve for x
    x = 42,177,384,340.01/307,573.52
  6. Step 6: Final answer
    x = 137,129.44

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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.