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Finding the Fourth Proportional to 780,278, 1,076,783.64 and 422,582

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Solution

The fourth proportional to 780,278, 1,076,783.64 and 422,582 is: 583,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,278 : 1,076,783.64 = 422,582 : x
  2. Step 2: Convert to fraction form
    780,278/1,076,783.64 = 422,582/x
  3. Step 3: Cross multiply
    780,278x = 1,076,783.64 × 422,582
  4. Step 4: Simplify right side
    780,278x = 455,029,384,158.48
  5. Step 5: Solve for x
    x = 455,029,384,158.48/780,278
  6. Step 6: Final answer
    x = 583,163.16

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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.