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Finding the Fourth Proportional to 713,735.44, 984,952.89 and 407,906.71

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Solution

The fourth proportional to 713,735.44, 984,952.89 and 407,906.71 is: 562,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,735.44 : 984,952.89 = 407,906.71 : x
  2. Step 2: Convert to fraction form
    713,735.44/984,952.89 = 407,906.71/x
  3. Step 3: Cross multiply
    713,735.44x = 984,952.89 × 407,906.71
  4. Step 4: Simplify right side
    713,735.44x = 401,768,890,402.51
  5. Step 5: Solve for x
    x = 401,768,890,402.51/713,735.44
  6. Step 6: Final answer
    x = 562,910.11

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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.