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Finding the Fourth Proportional to 823,370, 1,136,250.60 and 446,538

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Solution

The fourth proportional to 823,370, 1,136,250.60 and 446,538 is: 616,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,370 : 1,136,250.60 = 446,538 : x
  2. Step 2: Convert to fraction form
    823,370/1,136,250.60 = 446,538/x
  3. Step 3: Cross multiply
    823,370x = 1,136,250.60 × 446,538
  4. Step 4: Simplify right side
    823,370x = 507,379,070,422.80
  5. Step 5: Solve for x
    x = 507,379,070,422.80/823,370
  6. Step 6: Final answer
    x = 616,222.44

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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.