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Finding the Fourth Proportional to 493,323.36, 680,816.88 and 278,385

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Solution

The fourth proportional to 493,323.36, 680,816.88 and 278,385 is: 384,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,323.36 : 680,816.88 = 278,385 : x
  2. Step 2: Convert to fraction form
    493,323.36/680,816.88 = 278,385/x
  3. Step 3: Cross multiply
    493,323.36x = 680,816.88 × 278,385
  4. Step 4: Simplify right side
    493,323.36x = 189,529,207,138.80
  5. Step 5: Solve for x
    x = 189,529,207,138.80/493,323.36
  6. Step 6: Final answer
    x = 384,188.59

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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.