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Finding the Fourth Proportional to 312,175.90, 468,216.33 and 101,813.50

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Solution

The fourth proportional to 312,175.90, 468,216.33 and 101,813.50 is: 152,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,175.90 : 468,216.33 = 101,813.50 : x
  2. Step 2: Convert to fraction form
    312,175.90/468,216.33 = 101,813.50/x
  3. Step 3: Cross multiply
    312,175.90x = 468,216.33 × 101,813.50
  4. Step 4: Simplify right side
    312,175.90x = 47,670,743,314.46
  5. Step 5: Solve for x
    x = 47,670,743,314.46/312,175.90
  6. Step 6: Final answer
    x = 152,704.75

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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.