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Finding the Fourth Proportional to 312,212.40, 468,339.60 and 109,784.32

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Solution

The fourth proportional to 312,212.40, 468,339.60 and 109,784.32 is: 164,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,212.40 : 468,339.60 = 109,784.32 : x
  2. Step 2: Convert to fraction form
    312,212.40/468,339.60 = 109,784.32/x
  3. Step 3: Cross multiply
    312,212.40x = 468,339.60 × 109,784.32
  4. Step 4: Simplify right side
    312,212.40x = 51,416,344,515.07
  5. Step 5: Solve for x
    x = 51,416,344,515.07/312,212.40
  6. Step 6: Final answer
    x = 164,683.86

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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.