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Finding the Fourth Proportional to 431,728.14, 595,788.72 and 238,143.30

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Solution

The fourth proportional to 431,728.14, 595,788.72 and 238,143.30 is: 328,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,728.14 : 595,788.72 = 238,143.30 : x
  2. Step 2: Convert to fraction form
    431,728.14/595,788.72 = 238,143.30/x
  3. Step 3: Cross multiply
    431,728.14x = 595,788.72 × 238,143.30
  4. Step 4: Simplify right side
    431,728.14x = 141,883,091,883.58
  5. Step 5: Solve for x
    x = 141,883,091,883.58/431,728.14
  6. Step 6: Final answer
    x = 328,639.90

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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.