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Finding the Fourth Proportional to 421,958.64, 582,302.88 and 230,972.16

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Solution

The fourth proportional to 421,958.64, 582,302.88 and 230,972.16 is: 318,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,958.64 : 582,302.88 = 230,972.16 : x
  2. Step 2: Convert to fraction form
    421,958.64/582,302.88 = 230,972.16/x
  3. Step 3: Cross multiply
    421,958.64x = 582,302.88 × 230,972.16
  4. Step 4: Simplify right side
    421,958.64x = 134,495,753,967.82
  5. Step 5: Solve for x
    x = 134,495,753,967.82/421,958.64
  6. Step 6: Final answer
    x = 318,741.56

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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.