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Finding the Fourth Proportional to 780,634, 1,077,274.92 and 422,938

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Solution

The fourth proportional to 780,634, 1,077,274.92 and 422,938 is: 583,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,634 : 1,077,274.92 = 422,938 : x
  2. Step 2: Convert to fraction form
    780,634/1,077,274.92 = 422,938/x
  3. Step 3: Cross multiply
    780,634x = 1,077,274.92 × 422,938
  4. Step 4: Simplify right side
    780,634x = 455,620,500,114.96
  5. Step 5: Solve for x
    x = 455,620,500,114.96/780,634
  6. Step 6: Final answer
    x = 583,654.44

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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.