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Finding the Fourth Proportional to 493,387.54, 680,836.80 and 278,548.84

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Solution

The fourth proportional to 493,387.54, 680,836.80 and 278,548.84 is: 384,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,387.54 : 680,836.80 = 278,548.84 : x
  2. Step 2: Convert to fraction form
    493,387.54/680,836.80 = 278,548.84/x
  3. Step 3: Cross multiply
    493,387.54x = 680,836.80 × 278,548.84
  4. Step 4: Simplify right side
    493,387.54x = 189,646,300,869.31
  5. Step 5: Solve for x
    x = 189,646,300,869.31/493,387.54
  6. Step 6: Final answer
    x = 384,375.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.