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Finding the Fourth Proportional to 421,706, 632,406.70 and 169,044.32

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Solution

The fourth proportional to 421,706, 632,406.70 and 169,044.32 is: 253,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,706 : 632,406.70 = 169,044.32 : x
  2. Step 2: Convert to fraction form
    421,706/632,406.70 = 169,044.32/x
  3. Step 3: Cross multiply
    421,706x = 632,406.70 × 169,044.32
  4. Step 4: Simplify right side
    421,706x = 106,904,760,564.94
  5. Step 5: Solve for x
    x = 106,904,760,564.94/421,706
  6. Step 6: Final answer
    x = 253,505.43

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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.