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Finding the Fourth Proportional to 780,180, 1,076,648.40 and 422,484

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Solution

The fourth proportional to 780,180, 1,076,648.40 and 422,484 is: 583,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,180 : 1,076,648.40 = 422,484 : x
  2. Step 2: Convert to fraction form
    780,180/1,076,648.40 = 422,484/x
  3. Step 3: Cross multiply
    780,180x = 1,076,648.40 × 422,484
  4. Step 4: Simplify right side
    780,180x = 454,866,722,625.60
  5. Step 5: Solve for x
    x = 454,866,722,625.60/780,180
  6. Step 6: Final answer
    x = 583,027.92

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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.