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Finding the Fourth Proportional to 287,729.76, 431,087.99 and 256,418.00

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Solution

The fourth proportional to 287,729.76, 431,087.99 and 256,418.00 is: 384,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,729.76 : 431,087.99 = 256,418.00 : x
  2. Step 2: Convert to fraction form
    287,729.76/431,087.99 = 256,418.00/x
  3. Step 3: Cross multiply
    287,729.76x = 431,087.99 × 256,418.00
  4. Step 4: Simplify right side
    287,729.76x = 110,538,716,782.29
  5. Step 5: Solve for x
    x = 110,538,716,782.29/287,729.76
  6. Step 6: Final answer
    x = 384,175.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.