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Finding the Fourth Proportional to 421,751.08, 632,627.02 and 172,433.08

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Solution

The fourth proportional to 421,751.08, 632,627.02 and 172,433.08 is: 258,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,751.08 : 632,627.02 = 172,433.08 : x
  2. Step 2: Convert to fraction form
    421,751.08/632,627.02 = 172,433.08/x
  3. Step 3: Cross multiply
    421,751.08x = 632,627.02 × 172,433.08
  4. Step 4: Simplify right side
    421,751.08x = 109,085,825,549.82
  5. Step 5: Solve for x
    x = 109,085,825,549.82/421,751.08
  6. Step 6: Final answer
    x = 258,649.78

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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.