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Finding the Fourth Proportional to 421,644.73, 632,476.32 and 169,044.19

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Solution

The fourth proportional to 421,644.73, 632,476.32 and 169,044.19 is: 253,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,644.73 : 632,476.32 = 169,044.19 : x
  2. Step 2: Convert to fraction form
    421,644.73/632,476.32 = 169,044.19/x
  3. Step 3: Cross multiply
    421,644.73x = 632,476.32 × 169,044.19
  4. Step 4: Simplify right side
    421,644.73x = 106,916,447,208.58
  5. Step 5: Solve for x
    x = 106,916,447,208.58/421,644.73
  6. Step 6: Final answer
    x = 253,569.98

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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.