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Finding the Fourth Proportional to 383,540.93, 575,477.46 and 205,840.34

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Solution

The fourth proportional to 383,540.93, 575,477.46 and 205,840.34 is: 308,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,540.93 : 575,477.46 = 205,840.34 : x
  2. Step 2: Convert to fraction form
    383,540.93/575,477.46 = 205,840.34/x
  3. Step 3: Cross multiply
    383,540.93x = 575,477.46 × 205,840.34
  4. Step 4: Simplify right side
    383,540.93x = 118,456,473,151.35
  5. Step 5: Solve for x
    x = 118,456,473,151.35/383,540.93
  6. Step 6: Final answer
    x = 308,849.63

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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.