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Finding the Fourth Proportional to 780,682, 1,077,341.88 and 422,986

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Solution

The fourth proportional to 780,682, 1,077,341.88 and 422,986 is: 583,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,682 : 1,077,341.88 = 422,986 : x
  2. Step 2: Convert to fraction form
    780,682/1,077,341.88 = 422,986/x
  3. Step 3: Cross multiply
    780,682x = 1,077,341.88 × 422,986
  4. Step 4: Simplify right side
    780,682x = 455,700,532,453.68
  5. Step 5: Solve for x
    x = 455,700,532,453.68/780,682
  6. Step 6: Final answer
    x = 583,721.07

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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.