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Finding the Fourth Proportional to 780,646, 1,077,291.54 and 422,950

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Solution

The fourth proportional to 780,646, 1,077,291.54 and 422,950 is: 583,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,646 : 1,077,291.54 = 422,950 : x
  2. Step 2: Convert to fraction form
    780,646/1,077,291.54 = 422,950/x
  3. Step 3: Cross multiply
    780,646x = 1,077,291.54 × 422,950
  4. Step 4: Simplify right side
    780,646x = 455,640,456,843
  5. Step 5: Solve for x
    x = 455,640,456,843/780,646
  6. Step 6: Final answer
    x = 583,671.03

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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.