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Finding the Fourth Proportional to 382,642.20, 573,963.30 and 340,651.80

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Solution

The fourth proportional to 382,642.20, 573,963.30 and 340,651.80 is: 510,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,642.20 : 573,963.30 = 340,651.80 : x
  2. Step 2: Convert to fraction form
    382,642.20/573,963.30 = 340,651.80/x
  3. Step 3: Cross multiply
    382,642.20x = 573,963.30 × 340,651.80
  4. Step 4: Simplify right side
    382,642.20x = 195,521,631,278.94
  5. Step 5: Solve for x
    x = 195,521,631,278.94/382,642.20
  6. Step 6: Final answer
    x = 510,977.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.