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Finding the Fourth Proportional to 421,654.22, 632,543.84 and 122,097.40

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Solution

The fourth proportional to 421,654.22, 632,543.84 and 122,097.40 is: 183,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,654.22 : 632,543.84 = 122,097.40 : x
  2. Step 2: Convert to fraction form
    421,654.22/632,543.84 = 122,097.40/x
  3. Step 3: Cross multiply
    421,654.22x = 632,543.84 × 122,097.40
  4. Step 4: Simplify right side
    421,654.22x = 77,231,958,250.02
  5. Step 5: Solve for x
    x = 77,231,958,250.02/421,654.22
  6. Step 6: Final answer
    x = 183,164.20

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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.