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Finding the Fourth Proportional to 523,405, 785,120.46 and 190,981

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Solution

The fourth proportional to 523,405, 785,120.46 and 190,981 is: 286,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,405 : 785,120.46 = 190,981 : x
  2. Step 2: Convert to fraction form
    523,405/785,120.46 = 190,981/x
  3. Step 3: Cross multiply
    523,405x = 785,120.46 × 190,981
  4. Step 4: Simplify right side
    523,405x = 149,943,090,571.26
  5. Step 5: Solve for x
    x = 149,943,090,571.26/523,405
  6. Step 6: Final answer
    x = 286,476.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.