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Finding the Fourth Proportional to 713,720.25, 984,931.97 and 407,891.52

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Solution

The fourth proportional to 713,720.25, 984,931.97 and 407,891.52 is: 562,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,720.25 : 984,931.97 = 407,891.52 : x
  2. Step 2: Convert to fraction form
    713,720.25/984,931.97 = 407,891.52/x
  3. Step 3: Cross multiply
    713,720.25x = 984,931.97 × 407,891.52
  4. Step 4: Simplify right side
    713,720.25x = 401,745,396,300.44
  5. Step 5: Solve for x
    x = 401,745,396,300.44/713,720.25
  6. Step 6: Final answer
    x = 562,889.17

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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.