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Finding the Fourth Proportional to 366,658.35, 505,986.90 and 205,513.40

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Solution

The fourth proportional to 366,658.35, 505,986.90 and 205,513.40 is: 283,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,658.35 : 505,986.90 = 205,513.40 : x
  2. Step 2: Convert to fraction form
    366,658.35/505,986.90 = 205,513.40/x
  3. Step 3: Cross multiply
    366,658.35x = 505,986.90 × 205,513.40
  4. Step 4: Simplify right side
    366,658.35x = 103,987,089,824.77
  5. Step 5: Solve for x
    x = 103,987,089,824.77/366,658.35
  6. Step 6: Final answer
    x = 283,607.59

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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.