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Finding the Fourth Proportional to 713,747.29, 984,880.47 and 407,843.46

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Solution

The fourth proportional to 713,747.29, 984,880.47 and 407,843.46 is: 562,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,747.29 : 984,880.47 = 407,843.46 : x
  2. Step 2: Convert to fraction form
    713,747.29/984,880.47 = 407,843.46/x
  3. Step 3: Cross multiply
    713,747.29x = 984,880.47 × 407,843.46
  4. Step 4: Simplify right side
    713,747.29x = 401,677,054,113.22
  5. Step 5: Solve for x
    x = 401,677,054,113.22/713,747.29
  6. Step 6: Final answer
    x = 562,772.09

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1.5x scale

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.