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Finding the Fourth Proportional to 388,498.64, 536,107.33 and 214,063.43

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Solution

The fourth proportional to 388,498.64, 536,107.33 and 214,063.43 is: 295,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,498.64 : 536,107.33 = 214,063.43 : x
  2. Step 2: Convert to fraction form
    388,498.64/536,107.33 = 214,063.43/x
  3. Step 3: Cross multiply
    388,498.64x = 536,107.33 × 214,063.43
  4. Step 4: Simplify right side
    388,498.64x = 114,760,974,713.05
  5. Step 5: Solve for x
    x = 114,760,974,713.05/388,498.64
  6. Step 6: Final answer
    x = 295,396.08

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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.