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Finding the Fourth Proportional to 421,967.96, 582,322.20 and 230,999.12

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Solution

The fourth proportional to 421,967.96, 582,322.20 and 230,999.12 is: 318,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,967.96 : 582,322.20 = 230,999.12 : x
  2. Step 2: Convert to fraction form
    421,967.96/582,322.20 = 230,999.12/x
  3. Step 3: Cross multiply
    421,967.96x = 582,322.20 × 230,999.12
  4. Step 4: Simplify right side
    421,967.96x = 134,515,915,756.46
  5. Step 5: Solve for x
    x = 134,515,915,756.46/421,967.96
  6. Step 6: Final answer
    x = 318,782.30

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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.