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Finding the Fourth Proportional to 421,937.64, 582,274.68 and 230,963.16

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Solution

The fourth proportional to 421,937.64, 582,274.68 and 230,963.16 is: 318,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,937.64 : 582,274.68 = 230,963.16 : x
  2. Step 2: Convert to fraction form
    421,937.64/582,274.68 = 230,963.16/x
  3. Step 3: Cross multiply
    421,937.64x = 582,274.68 × 230,963.16
  4. Step 4: Simplify right side
    421,937.64x = 134,484,000,080.79
  5. Step 5: Solve for x
    x = 134,484,000,080.79/421,937.64
  6. Step 6: Final answer
    x = 318,729.56

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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.