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Finding the Fourth Proportional to 287,532.88, 430,643.22 and 253,896.82

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Solution

The fourth proportional to 287,532.88, 430,643.22 and 253,896.82 is: 380,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,532.88 : 430,643.22 = 253,896.82 : x
  2. Step 2: Convert to fraction form
    287,532.88/430,643.22 = 253,896.82/x
  3. Step 3: Cross multiply
    287,532.88x = 430,643.22 × 253,896.82
  4. Step 4: Simplify right side
    287,532.88x = 109,338,944,112.56
  5. Step 5: Solve for x
    x = 109,338,944,112.56/287,532.88
  6. Step 6: Final answer
    x = 380,265.88

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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.