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Finding the Fourth Proportional to 780,879, 1,077,613.74 and 423,183

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Solution

The fourth proportional to 780,879, 1,077,613.74 and 423,183 is: 583,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,879 : 1,077,613.74 = 423,183 : x
  2. Step 2: Convert to fraction form
    780,879/1,077,613.74 = 423,183/x
  3. Step 3: Cross multiply
    780,879x = 1,077,613.74 × 423,183
  4. Step 4: Simplify right side
    780,879x = 456,027,815,334.42
  5. Step 5: Solve for x
    x = 456,027,815,334.42/780,879
  6. Step 6: Final answer
    x = 583,992.93

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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.