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Finding the Fourth Proportional to 780,174, 1,076,640.12 and 422,478

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Solution

The fourth proportional to 780,174, 1,076,640.12 and 422,478 is: 583,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,174 : 1,076,640.12 = 422,478 : x
  2. Step 2: Convert to fraction form
    780,174/1,076,640.12 = 422,478/x
  3. Step 3: Cross multiply
    780,174x = 1,076,640.12 × 422,478
  4. Step 4: Simplify right side
    780,174x = 454,856,764,617.36
  5. Step 5: Solve for x
    x = 454,856,764,617.36/780,174
  6. Step 6: Final answer
    x = 583,019.64

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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.