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Finding the Fourth Proportional to 382,782.41, 528,263.02 and 213,016.53

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Solution

The fourth proportional to 382,782.41, 528,263.02 and 213,016.53 is: 293,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,782.41 : 528,263.02 = 213,016.53 : x
  2. Step 2: Convert to fraction form
    382,782.41/528,263.02 = 213,016.53/x
  3. Step 3: Cross multiply
    382,782.41x = 528,263.02 × 213,016.53
  4. Step 4: Simplify right side
    382,782.41x = 112,528,756,496.76
  5. Step 5: Solve for x
    x = 112,528,756,496.76/382,782.41
  6. Step 6: Final answer
    x = 293,975.78

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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.