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Finding the Fourth Proportional to 361,942.60, 499,525.08 and 208,980.53

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Solution

The fourth proportional to 361,942.60, 499,525.08 and 208,980.53 is: 288,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,942.60 : 499,525.08 = 208,980.53 : x
  2. Step 2: Convert to fraction form
    361,942.60/499,525.08 = 208,980.53/x
  3. Step 3: Cross multiply
    361,942.60x = 499,525.08 × 208,980.53
  4. Step 4: Simplify right side
    361,942.60x = 104,391,015,963.52
  5. Step 5: Solve for x
    x = 104,391,015,963.52/361,942.60
  6. Step 6: Final answer
    x = 288,418.70

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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.