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Finding the Fourth Proportional to 461,094, 636,834.60 and 309,928.56

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Solution

The fourth proportional to 461,094, 636,834.60 and 309,928.56 is: 428,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,094 : 636,834.60 = 309,928.56 : x
  2. Step 2: Convert to fraction form
    461,094/636,834.60 = 309,928.56/x
  3. Step 3: Cross multiply
    461,094x = 636,834.60 × 309,928.56
  4. Step 4: Simplify right side
    461,094x = 197,373,230,536.18
  5. Step 5: Solve for x
    x = 197,373,230,536.18/461,094
  6. Step 6: Final answer
    x = 428,054.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.