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Finding the Fourth Proportional to 383,597.80, 529,371.94 and 213,813.64

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Solution

The fourth proportional to 383,597.80, 529,371.94 and 213,813.64 is: 295,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,597.80 : 529,371.94 = 213,813.64 : x
  2. Step 2: Convert to fraction form
    383,597.80/529,371.94 = 213,813.64/x
  3. Step 3: Cross multiply
    383,597.80x = 529,371.94 × 213,813.64
  4. Step 4: Simplify right side
    383,597.80x = 113,186,941,405.26
  5. Step 5: Solve for x
    x = 113,186,941,405.26/383,597.80
  6. Step 6: Final answer
    x = 295,066.71

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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.