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Finding the Fourth Proportional to 300,431.11, 414,640.47 and 171,368.95

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Solution

The fourth proportional to 300,431.11, 414,640.47 and 171,368.95 is: 236,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,431.11 : 414,640.47 = 171,368.95 : x
  2. Step 2: Convert to fraction form
    300,431.11/414,640.47 = 171,368.95/x
  3. Step 3: Cross multiply
    300,431.11x = 414,640.47 × 171,368.95
  4. Step 4: Simplify right side
    300,431.11x = 71,056,501,971.41
  5. Step 5: Solve for x
    x = 71,056,501,971.41/300,431.11
  6. Step 6: Final answer
    x = 236,515.13

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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.