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Finding the Fourth Proportional to 313,974.50, 470,978.04 and 103,628.84

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Solution

The fourth proportional to 313,974.50, 470,978.04 and 103,628.84 is: 155,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,974.50 : 470,978.04 = 103,628.84 : x
  2. Step 2: Convert to fraction form
    313,974.50/470,978.04 = 103,628.84/x
  3. Step 3: Cross multiply
    313,974.50x = 470,978.04 × 103,628.84
  4. Step 4: Simplify right side
    313,974.50x = 48,806,907,950.67
  5. Step 5: Solve for x
    x = 48,806,907,950.67/313,974.50
  6. Step 6: Final answer
    x = 155,448.64

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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.