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Finding the Fourth Proportional to 286,734, 427,322.94 and 271,804.08

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Solution

The fourth proportional to 286,734, 427,322.94 and 271,804.08 is: 405,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,734 : 427,322.94 = 271,804.08 : x
  2. Step 2: Convert to fraction form
    286,734/427,322.94 = 271,804.08/x
  3. Step 3: Cross multiply
    286,734x = 427,322.94 × 271,804.08
  4. Step 4: Simplify right side
    286,734x = 116,148,118,569.60
  5. Step 5: Solve for x
    x = 116,148,118,569.60/286,734
  6. Step 6: Final answer
    x = 405,072.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.