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Finding the Fourth Proportional to 339,244.80, 509,369.40 and 189,783.60

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Solution

The fourth proportional to 339,244.80, 509,369.40 and 189,783.60 is: 284,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,244.80 : 509,369.40 = 189,783.60 : x
  2. Step 2: Convert to fraction form
    339,244.80/509,369.40 = 189,783.60/x
  3. Step 3: Cross multiply
    339,244.80x = 509,369.40 × 189,783.60
  4. Step 4: Simplify right side
    339,244.80x = 96,669,958,461.84
  5. Step 5: Solve for x
    x = 96,669,958,461.84/339,244.80
  6. Step 6: Final answer
    x = 284,956.35

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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.