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Finding the Fourth Proportional to 339,698.64, 509,491.08 and 102,984.72

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Solution

The fourth proportional to 339,698.64, 509,491.08 and 102,984.72 is: 154,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,698.64 : 509,491.08 = 102,984.72 : x
  2. Step 2: Convert to fraction form
    339,698.64/509,491.08 = 102,984.72/x
  3. Step 3: Cross multiply
    339,698.64x = 509,491.08 × 102,984.72
  4. Step 4: Simplify right side
    339,698.64x = 52,469,796,216.30
  5. Step 5: Solve for x
    x = 52,469,796,216.30/339,698.64
  6. Step 6: Final answer
    x = 154,459.84

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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.