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Finding the Fourth Proportional to 421,409.25, 632,114.48 and 172,091.25

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Solution

The fourth proportional to 421,409.25, 632,114.48 and 172,091.25 is: 258,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,409.25 : 632,114.48 = 172,091.25 : x
  2. Step 2: Convert to fraction form
    421,409.25/632,114.48 = 172,091.25/x
  3. Step 3: Cross multiply
    421,409.25x = 632,114.48 × 172,091.25
  4. Step 4: Simplify right side
    421,409.25x = 108,781,371,436.53
  5. Step 5: Solve for x
    x = 108,781,371,436.53/421,409.25
  6. Step 6: Final answer
    x = 258,137.12

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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.