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Finding the Fourth Proportional to 312,420, 468,772.80 and 170,052

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Solution

The fourth proportional to 312,420, 468,772.80 and 170,052 is: 255,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,420 : 468,772.80 = 170,052 : x
  2. Step 2: Convert to fraction form
    312,420/468,772.80 = 170,052/x
  3. Step 3: Cross multiply
    312,420x = 468,772.80 × 170,052
  4. Step 4: Simplify right side
    312,420x = 79,715,752,185.60
  5. Step 5: Solve for x
    x = 79,715,752,185.60/312,420
  6. Step 6: Final answer
    x = 255,155.73

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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.