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Finding the Fourth Proportional to 415,060.60, 622,590.90 and 310,084.60

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Solution

The fourth proportional to 415,060.60, 622,590.90 and 310,084.60 is: 465,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,060.60 : 622,590.90 = 310,084.60 : x
  2. Step 2: Convert to fraction form
    415,060.60/622,590.90 = 310,084.60/x
  3. Step 3: Cross multiply
    415,060.60x = 622,590.90 × 310,084.60
  4. Step 4: Simplify right side
    415,060.60x = 193,055,850,190.14
  5. Step 5: Solve for x
    x = 193,055,850,190.14/415,060.60
  6. Step 6: Final answer
    x = 465,126.90

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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.