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Finding the Fourth Proportional to 426,743.52, 640,287.41 and 189,924.23

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Solution

The fourth proportional to 426,743.52, 640,287.41 and 189,924.23 is: 284,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,743.52 : 640,287.41 = 189,924.23 : x
  2. Step 2: Convert to fraction form
    426,743.52/640,287.41 = 189,924.23/x
  3. Step 3: Cross multiply
    426,743.52x = 640,287.41 × 189,924.23
  4. Step 4: Simplify right side
    426,743.52x = 121,606,093,322.94
  5. Step 5: Solve for x
    x = 121,606,093,322.94/426,743.52
  6. Step 6: Final answer
    x = 284,962.95

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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.