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Finding the Fourth Proportional to 413,847.63, 620,456.76 and 214,040.75

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Solution

The fourth proportional to 413,847.63, 620,456.76 and 214,040.75 is: 320,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,847.63 : 620,456.76 = 214,040.75 : x
  2. Step 2: Convert to fraction form
    413,847.63/620,456.76 = 214,040.75/x
  3. Step 3: Cross multiply
    413,847.63x = 620,456.76 × 214,040.75
  4. Step 4: Simplify right side
    413,847.63x = 132,803,027,150.69
  5. Step 5: Solve for x
    x = 132,803,027,150.69/413,847.63
  6. Step 6: Final answer
    x = 320,898.36

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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.