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Finding the Fourth Proportional to 421,690.86, 582,174 and 278,865.18

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Solution

The fourth proportional to 421,690.86, 582,174 and 278,865.18 is: 384,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,690.86 : 582,174 = 278,865.18 : x
  2. Step 2: Convert to fraction form
    421,690.86/582,174 = 278,865.18/x
  3. Step 3: Cross multiply
    421,690.86x = 582,174 × 278,865.18
  4. Step 4: Simplify right side
    421,690.86x = 162,348,057,301.32
  5. Step 5: Solve for x
    x = 162,348,057,301.32/421,690.86
  6. Step 6: Final answer
    x = 384,993.07

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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.