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Finding the Fourth Proportional to 780,274.50, 1,076,778.82 and 422,578.50

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Solution

The fourth proportional to 780,274.50, 1,076,778.82 and 422,578.50 is: 583,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,274.50 : 1,076,778.82 = 422,578.50 : x
  2. Step 2: Convert to fraction form
    780,274.50/1,076,778.82 = 422,578.50/x
  3. Step 3: Cross multiply
    780,274.50x = 1,076,778.82 × 422,578.50
  4. Step 4: Simplify right side
    780,274.50x = 455,023,578,587.37
  5. Step 5: Solve for x
    x = 455,023,578,587.37/780,274.50
  6. Step 6: Final answer
    x = 583,158.34

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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.