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Finding the Fourth Proportional to 421,795.70, 632,675.10 and 122,269.76

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Solution

The fourth proportional to 421,795.70, 632,675.10 and 122,269.76 is: 183,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,795.70 : 632,675.10 = 122,269.76 : x
  2. Step 2: Convert to fraction form
    421,795.70/632,675.10 = 122,269.76/x
  3. Step 3: Cross multiply
    421,795.70x = 632,675.10 × 122,269.76
  4. Step 4: Simplify right side
    421,795.70x = 77,357,032,634.98
  5. Step 5: Solve for x
    x = 77,357,032,634.98/421,795.70
  6. Step 6: Final answer
    x = 183,399.29

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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.