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Finding the Fourth Proportional to 313,810.80, 470,424.60 and 219,040.80

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Solution

The fourth proportional to 313,810.80, 470,424.60 and 219,040.80 is: 328,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,810.80 : 470,424.60 = 219,040.80 : x
  2. Step 2: Convert to fraction form
    313,810.80/470,424.60 = 219,040.80/x
  3. Step 3: Cross multiply
    313,810.80x = 470,424.60 × 219,040.80
  4. Step 4: Simplify right side
    313,810.80x = 103,042,180,723.68
  5. Step 5: Solve for x
    x = 103,042,180,723.68/313,810.80
  6. Step 6: Final answer
    x = 328,357.66

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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.