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Finding the Fourth Proportional to 313,205.40, 470,067.30 and 144,984.60

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Solution

The fourth proportional to 313,205.40, 470,067.30 and 144,984.60 is: 217,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,205.40 : 470,067.30 = 144,984.60 : x
  2. Step 2: Convert to fraction form
    313,205.40/470,067.30 = 144,984.60/x
  3. Step 3: Cross multiply
    313,205.40x = 470,067.30 × 144,984.60
  4. Step 4: Simplify right side
    313,205.40x = 68,152,519,463.58
  5. Step 5: Solve for x
    x = 68,152,519,463.58/313,205.40
  6. Step 6: Final answer
    x = 217,596.89

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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.