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Finding the Fourth Proportional to 421,798.20, 632,678.85 and 122,272.26

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Solution

The fourth proportional to 421,798.20, 632,678.85 and 122,272.26 is: 183,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,798.20 : 632,678.85 = 122,272.26 : x
  2. Step 2: Convert to fraction form
    421,798.20/632,678.85 = 122,272.26/x
  3. Step 3: Cross multiply
    421,798.20x = 632,678.85 × 122,272.26
  4. Step 4: Simplify right side
    421,798.20x = 77,359,072,843.70
  5. Step 5: Solve for x
    x = 77,359,072,843.70/421,798.20
  6. Step 6: Final answer
    x = 183,403.04

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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.