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Finding the Fourth Proportional to 307,308.52, 460,961.77 and 142,974.51

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Solution

The fourth proportional to 307,308.52, 460,961.77 and 142,974.51 is: 214,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,308.52 : 460,961.77 = 142,974.51 : x
  2. Step 2: Convert to fraction form
    307,308.52/460,961.77 = 142,974.51/x
  3. Step 3: Cross multiply
    307,308.52x = 460,961.77 × 142,974.51
  4. Step 4: Simplify right side
    307,308.52x = 65,905,783,194.48
  5. Step 5: Solve for x
    x = 65,905,783,194.48/307,308.52
  6. Step 6: Final answer
    x = 214,461.30

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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.