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Finding the Fourth Proportional to 413,992.27, 620,988.40 and 133,509.52

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Solution

The fourth proportional to 413,992.27, 620,988.40 and 133,509.52 is: 200,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,992.27 : 620,988.40 = 133,509.52 : x
  2. Step 2: Convert to fraction form
    413,992.27/620,988.40 = 133,509.52/x
  3. Step 3: Cross multiply
    413,992.27x = 620,988.40 × 133,509.52
  4. Step 4: Simplify right side
    413,992.27x = 82,907,860,284.14
  5. Step 5: Solve for x
    x = 82,907,860,284.14/413,992.27
  6. Step 6: Final answer
    x = 200,264.27

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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.