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Finding the Fourth Proportional to 421,705.58, 632,591.17 and 122,190.46

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Solution

The fourth proportional to 421,705.58, 632,591.17 and 122,190.46 is: 183,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,705.58 : 632,591.17 = 122,190.46 : x
  2. Step 2: Convert to fraction form
    421,705.58/632,591.17 = 122,190.46/x
  3. Step 3: Cross multiply
    421,705.58x = 632,591.17 × 122,190.46
  4. Step 4: Simplify right side
    421,705.58x = 77,296,604,167.28
  5. Step 5: Solve for x
    x = 77,296,604,167.28/421,705.58
  6. Step 6: Final answer
    x = 183,295.19

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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.