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Finding the Fourth Proportional to 278,886.52, 418,339.64 and 89,322.24

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Solution

The fourth proportional to 278,886.52, 418,339.64 and 89,322.24 is: 133,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,886.52 : 418,339.64 = 89,322.24 : x
  2. Step 2: Convert to fraction form
    278,886.52/418,339.64 = 89,322.24/x
  3. Step 3: Cross multiply
    278,886.52x = 418,339.64 × 89,322.24
  4. Step 4: Simplify right side
    278,886.52x = 37,367,033,725.59
  5. Step 5: Solve for x
    x = 37,367,033,725.59/278,886.52
  6. Step 6: Final answer
    x = 133,986.52

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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.