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Finding the Fourth Proportional to 809,807.78, 1,213,378.82 and 277,037.58

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Solution

The fourth proportional to 809,807.78, 1,213,378.82 and 277,037.58 is: 415,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,807.78 : 1,213,378.82 = 277,037.58 : x
  2. Step 2: Convert to fraction form
    809,807.78/1,213,378.82 = 277,037.58/x
  3. Step 3: Cross multiply
    809,807.78x = 1,213,378.82 × 277,037.58
  4. Step 4: Simplify right side
    809,807.78x = 336,151,531,916.06
  5. Step 5: Solve for x
    x = 336,151,531,916.06/809,807.78
  6. Step 6: Final answer
    x = 415,100.40

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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.