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Finding the Fourth Proportional to 313,974.46, 470,978.02 and 103,628.80

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Solution

The fourth proportional to 313,974.46, 470,978.02 and 103,628.80 is: 155,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,974.46 : 470,978.02 = 103,628.80 : x
  2. Step 2: Convert to fraction form
    313,974.46/470,978.02 = 103,628.80/x
  3. Step 3: Cross multiply
    313,974.46x = 470,978.02 × 103,628.80
  4. Step 4: Simplify right side
    313,974.46x = 48,806,887,038.98
  5. Step 5: Solve for x
    x = 48,806,887,038.98/313,974.46
  6. Step 6: Final answer
    x = 155,448.59

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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.