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Finding the Fourth Proportional to 413,368.20, 619,760.70 and 188,836.20

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Solution

The fourth proportional to 413,368.20, 619,760.70 and 188,836.20 is: 283,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,368.20 : 619,760.70 = 188,836.20 : x
  2. Step 2: Convert to fraction form
    413,368.20/619,760.70 = 188,836.20/x
  3. Step 3: Cross multiply
    413,368.20x = 619,760.70 × 188,836.20
  4. Step 4: Simplify right side
    413,368.20x = 117,033,255,497.34
  5. Step 5: Solve for x
    x = 117,033,255,497.34/413,368.20
  6. Step 6: Final answer
    x = 283,121.09

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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.