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Finding the Fourth Proportional to 422,075.70, 633,146.34 and 122,561.22

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Solution

The fourth proportional to 422,075.70, 633,146.34 and 122,561.22 is: 183,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,075.70 : 633,146.34 = 122,561.22 : x
  2. Step 2: Convert to fraction form
    422,075.70/633,146.34 = 122,561.22/x
  3. Step 3: Cross multiply
    422,075.70x = 633,146.34 × 122,561.22
  4. Step 4: Simplify right side
    422,075.70x = 77,599,187,868.93
  5. Step 5: Solve for x
    x = 77,599,187,868.93/422,075.70
  6. Step 6: Final answer
    x = 183,851.35

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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.