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Finding the Fourth Proportional to 287,828.94, 431,182.41 and 175,229.94

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Solution

The fourth proportional to 287,828.94, 431,182.41 and 175,229.94 is: 262,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,828.94 : 431,182.41 = 175,229.94 : x
  2. Step 2: Convert to fraction form
    287,828.94/431,182.41 = 175,229.94/x
  3. Step 3: Cross multiply
    287,828.94x = 431,182.41 × 175,229.94
  4. Step 4: Simplify right side
    287,828.94x = 75,556,067,833.36
  5. Step 5: Solve for x
    x = 75,556,067,833.36/287,828.94
  6. Step 6: Final answer
    x = 262,503.37

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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.