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Finding the Fourth Proportional to 300,827.49, 450,740.94 and 211,893.13

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Solution

The fourth proportional to 300,827.49, 450,740.94 and 211,893.13 is: 317,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,827.49 : 450,740.94 = 211,893.13 : x
  2. Step 2: Convert to fraction form
    300,827.49/450,740.94 = 211,893.13/x
  3. Step 3: Cross multiply
    300,827.49x = 450,740.94 × 211,893.13
  4. Step 4: Simplify right side
    300,827.49x = 95,508,908,364.57
  5. Step 5: Solve for x
    x = 95,508,908,364.57/300,827.49
  6. Step 6: Final answer
    x = 317,487.31

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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.