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Finding the Fourth Proportional to 431,748.64, 595,817 and 238,163.76

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Solution

The fourth proportional to 431,748.64, 595,817 and 238,163.76 is: 328,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,748.64 : 595,817 = 238,163.76 : x
  2. Step 2: Convert to fraction form
    431,748.64/595,817 = 238,163.76/x
  3. Step 3: Cross multiply
    431,748.64x = 595,817 × 238,163.76
  4. Step 4: Simplify right side
    431,748.64x = 141,902,016,991.92
  5. Step 5: Solve for x
    x = 141,902,016,991.92/431,748.64
  6. Step 6: Final answer
    x = 328,668.13

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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.