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Finding the Fourth Proportional to 338,964.80, 508,949.40 and 189,503.60

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Solution

The fourth proportional to 338,964.80, 508,949.40 and 189,503.60 is: 284,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,964.80 : 508,949.40 = 189,503.60 : x
  2. Step 2: Convert to fraction form
    338,964.80/508,949.40 = 189,503.60/x
  3. Step 3: Cross multiply
    338,964.80x = 508,949.40 × 189,503.60
  4. Step 4: Simplify right side
    338,964.80x = 96,447,743,517.84
  5. Step 5: Solve for x
    x = 96,447,743,517.84/338,964.80
  6. Step 6: Final answer
    x = 284,536.16

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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.