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Finding the Fourth Proportional to 713,804.94, 985,102.56 and 407,874.24

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Solution

The fourth proportional to 713,804.94, 985,102.56 and 407,874.24 is: 562,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,804.94 : 985,102.56 = 407,874.24 : x
  2. Step 2: Convert to fraction form
    713,804.94/985,102.56 = 407,874.24/x
  3. Step 3: Cross multiply
    713,804.94x = 985,102.56 × 407,874.24
  4. Step 4: Simplify right side
    713,804.94x = 401,797,957,982.05
  5. Step 5: Solve for x
    x = 401,797,957,982.05/713,804.94
  6. Step 6: Final answer
    x = 562,896.02

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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.