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Finding the Fourth Proportional to 313,954.20, 470,931.30 and 126,965.70

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Solution

The fourth proportional to 313,954.20, 470,931.30 and 126,965.70 is: 190,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,954.20 : 470,931.30 = 126,965.70 : x
  2. Step 2: Convert to fraction form
    313,954.20/470,931.30 = 126,965.70/x
  3. Step 3: Cross multiply
    313,954.20x = 470,931.30 × 126,965.70
  4. Step 4: Simplify right side
    313,954.20x = 59,792,122,156.41
  5. Step 5: Solve for x
    x = 59,792,122,156.41/313,954.20
  6. Step 6: Final answer
    x = 190,448.55

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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.