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Finding the Fourth Proportional to 421,029.60, 631,237.20 and 171,583.20

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Solution

The fourth proportional to 421,029.60, 631,237.20 and 171,583.20 is: 257,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,029.60 : 631,237.20 = 171,583.20 : x
  2. Step 2: Convert to fraction form
    421,029.60/631,237.20 = 171,583.20/x
  3. Step 3: Cross multiply
    421,029.60x = 631,237.20 × 171,583.20
  4. Step 4: Simplify right side
    421,029.60x = 108,309,698,735.04
  5. Step 5: Solve for x
    x = 108,309,698,735.04/421,029.60
  6. Step 6: Final answer
    x = 257,249.61

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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.