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Finding the Fourth Proportional to 287,908.26, 431,677.38 and 119,544.84

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Solution

The fourth proportional to 287,908.26, 431,677.38 and 119,544.84 is: 179,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,908.26 : 431,677.38 = 119,544.84 : x
  2. Step 2: Convert to fraction form
    287,908.26/431,677.38 = 119,544.84/x
  3. Step 3: Cross multiply
    287,908.26x = 431,677.38 × 119,544.84
  4. Step 4: Simplify right side
    287,908.26x = 51,604,803,323.72
  5. Step 5: Solve for x
    x = 51,604,803,323.72/287,908.26
  6. Step 6: Final answer
    x = 179,240.44

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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.