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Finding the Fourth Proportional to 461,093.50, 636,833.91 and 309,928.06

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Solution

The fourth proportional to 461,093.50, 636,833.91 and 309,928.06 is: 428,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,093.50 : 636,833.91 = 309,928.06 : x
  2. Step 2: Convert to fraction form
    461,093.50/636,833.91 = 309,928.06/x
  3. Step 3: Cross multiply
    461,093.50x = 636,833.91 × 309,928.06
  4. Step 4: Simplify right side
    461,093.50x = 197,372,698,268.52
  5. Step 5: Solve for x
    x = 197,372,698,268.52/461,093.50
  6. Step 6: Final answer
    x = 428,053.53

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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.