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Finding the Fourth Proportional to 421,573.24, 632,360.94 and 172,255.24

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Solution

The fourth proportional to 421,573.24, 632,360.94 and 172,255.24 is: 258,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,573.24 : 632,360.94 = 172,255.24 : x
  2. Step 2: Convert to fraction form
    421,573.24/632,360.94 = 172,255.24/x
  3. Step 3: Cross multiply
    421,573.24x = 632,360.94 × 172,255.24
  4. Step 4: Simplify right side
    421,573.24x = 108,927,485,486.33
  5. Step 5: Solve for x
    x = 108,927,485,486.33/421,573.24
  6. Step 6: Final answer
    x = 258,383.30

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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.