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Finding the Fourth Proportional to 421,684.38, 582,279.03 and 301,195.26

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Solution

The fourth proportional to 421,684.38, 582,279.03 and 301,195.26 is: 415,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,684.38 : 582,279.03 = 301,195.26 : x
  2. Step 2: Convert to fraction form
    421,684.38/582,279.03 = 301,195.26/x
  3. Step 3: Cross multiply
    421,684.38x = 582,279.03 × 301,195.26
  4. Step 4: Simplify right side
    421,684.38x = 175,379,683,833.40
  5. Step 5: Solve for x
    x = 175,379,683,833.40/421,684.38
  6. Step 6: Final answer
    x = 415,902.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.