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Finding the Fourth Proportional to 494,429.94, 682,326.70 and 279,602

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Solution

The fourth proportional to 494,429.94, 682,326.70 and 279,602 is: 385,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,429.94 : 682,326.70 = 279,602 : x
  2. Step 2: Convert to fraction form
    494,429.94/682,326.70 = 279,602/x
  3. Step 3: Cross multiply
    494,429.94x = 682,326.70 × 279,602
  4. Step 4: Simplify right side
    494,429.94x = 190,779,909,973.40
  5. Step 5: Solve for x
    x = 190,779,909,973.40/494,429.94
  6. Step 6: Final answer
    x = 385,858.33

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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.