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Finding the Fourth Proportional to 421,542.09, 632,346.12 and 122,027.16

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Solution

The fourth proportional to 421,542.09, 632,346.12 and 122,027.16 is: 183,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,542.09 : 632,346.12 = 122,027.16 : x
  2. Step 2: Convert to fraction form
    421,542.09/632,346.12 = 122,027.16/x
  3. Step 3: Cross multiply
    421,542.09x = 632,346.12 × 122,027.16
  4. Step 4: Simplify right side
    421,542.09x = 77,163,401,160.62
  5. Step 5: Solve for x
    x = 77,163,401,160.62/421,542.09
  6. Step 6: Final answer
    x = 183,050.29

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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.