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Finding the Fourth Proportional to 312,029.80, 468,044.70 and 298,907.80

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Solution

The fourth proportional to 312,029.80, 468,044.70 and 298,907.80 is: 448,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,029.80 : 468,044.70 = 298,907.80 : x
  2. Step 2: Convert to fraction form
    312,029.80/468,044.70 = 298,907.80/x
  3. Step 3: Cross multiply
    312,029.80x = 468,044.70 × 298,907.80
  4. Step 4: Simplify right side
    312,029.80x = 139,902,211,578.66
  5. Step 5: Solve for x
    x = 139,902,211,578.66/312,029.80
  6. Step 6: Final answer
    x = 448,361.70

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1.5x scale

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.