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Finding the Fourth Proportional to 421,997.90, 632,897.49 and 122,399.42

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Solution

The fourth proportional to 421,997.90, 632,897.49 and 122,399.42 is: 183,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,997.90 : 632,897.49 = 122,399.42 : x
  2. Step 2: Convert to fraction form
    421,997.90/632,897.49 = 122,399.42/x
  3. Step 3: Cross multiply
    421,997.90x = 632,897.49 × 122,399.42
  4. Step 4: Simplify right side
    421,997.90x = 77,466,285,695.46
  5. Step 5: Solve for x
    x = 77,466,285,695.46/421,997.90
  6. Step 6: Final answer
    x = 183,570.31

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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.