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Finding the Fourth Proportional to 421,964.64, 582,311.16 and 230,978.16

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Solution

The fourth proportional to 421,964.64, 582,311.16 and 230,978.16 is: 318,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,964.64 : 582,311.16 = 230,978.16 : x
  2. Step 2: Convert to fraction form
    421,964.64/582,311.16 = 230,978.16/x
  3. Step 3: Cross multiply
    421,964.64x = 582,311.16 × 230,978.16
  4. Step 4: Simplify right side
    421,964.64x = 134,501,160,284.27
  5. Step 5: Solve for x
    x = 134,501,160,284.27/421,964.64
  6. Step 6: Final answer
    x = 318,749.84

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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.