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Finding the Fourth Proportional to 431,654.64, 595,718.92 and 238,100.28

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Solution

The fourth proportional to 431,654.64, 595,718.92 and 238,100.28 is: 328,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,654.64 : 595,718.92 = 238,100.28 : x
  2. Step 2: Convert to fraction form
    431,654.64/595,718.92 = 238,100.28/x
  3. Step 3: Cross multiply
    431,654.64x = 595,718.92 × 238,100.28
  4. Step 4: Simplify right side
    431,654.64x = 141,840,841,653.30
  5. Step 5: Solve for x
    x = 141,840,841,653.30/431,654.64
  6. Step 6: Final answer
    x = 328,597.98

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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.