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Finding the Fourth Proportional to 780,184, 1,076,653.92 and 422,488

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Solution

The fourth proportional to 780,184, 1,076,653.92 and 422,488 is: 583,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,184 : 1,076,653.92 = 422,488 : x
  2. Step 2: Convert to fraction form
    780,184/1,076,653.92 = 422,488/x
  3. Step 3: Cross multiply
    780,184x = 1,076,653.92 × 422,488
  4. Step 4: Simplify right side
    780,184x = 454,873,361,352.96
  5. Step 5: Solve for x
    x = 454,873,361,352.96/780,184
  6. Step 6: Final answer
    x = 583,033.44

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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.