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Finding the Fourth Proportional to 431,665.56, 595,690.31 and 238,091.28

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Solution

The fourth proportional to 431,665.56, 595,690.31 and 238,091.28 is: 328,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,665.56 : 595,690.31 = 238,091.28 : x
  2. Step 2: Convert to fraction form
    431,665.56/595,690.31 = 238,091.28/x
  3. Step 3: Cross multiply
    431,665.56x = 595,690.31 × 238,091.28
  4. Step 4: Simplify right side
    431,665.56x = 141,828,667,201.04
  5. Step 5: Solve for x
    x = 141,828,667,201.04/431,665.56
  6. Step 6: Final answer
    x = 328,561.46

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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.