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Finding the Fourth Proportional to 543,642.40, 816,338.40 and 366,932.80

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Solution

The fourth proportional to 543,642.40, 816,338.40 and 366,932.80 is: 550,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,642.40 : 816,338.40 = 366,932.80 : x
  2. Step 2: Convert to fraction form
    543,642.40/816,338.40 = 366,932.80/x
  3. Step 3: Cross multiply
    543,642.40x = 816,338.40 × 366,932.80
  4. Step 4: Simplify right side
    543,642.40x = 299,541,334,859.52
  5. Step 5: Solve for x
    x = 299,541,334,859.52/543,642.40
  6. Step 6: Final answer
    x = 550,989.65

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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.