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Finding the Fourth Proportional to 780,078, 1,076,507.64 and 422,382

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Solution

The fourth proportional to 780,078, 1,076,507.64 and 422,382 is: 582,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,078 : 1,076,507.64 = 422,382 : x
  2. Step 2: Convert to fraction form
    780,078/1,076,507.64 = 422,382/x
  3. Step 3: Cross multiply
    780,078x = 1,076,507.64 × 422,382
  4. Step 4: Simplify right side
    780,078x = 454,697,449,998.48
  5. Step 5: Solve for x
    x = 454,697,449,998.48/780,078
  6. Step 6: Final answer
    x = 582,887.16

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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.