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Finding the Fourth Proportional to 431,713.56, 595,769.06 and 238,129.55

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Solution

The fourth proportional to 431,713.56, 595,769.06 and 238,129.55 is: 328,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,713.56 : 595,769.06 = 238,129.55 : x
  2. Step 2: Convert to fraction form
    431,713.56/595,769.06 = 238,129.55/x
  3. Step 3: Cross multiply
    431,713.56x = 595,769.06 × 238,129.55
  4. Step 4: Simplify right side
    431,713.56x = 141,870,218,012.34
  5. Step 5: Solve for x
    x = 141,870,218,012.34/431,713.56
  6. Step 6: Final answer
    x = 328,621.17

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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.