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Finding the Fourth Proportional to 371,735.66, 512,988.90 and 201,968.57

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Solution

The fourth proportional to 371,735.66, 512,988.90 and 201,968.57 is: 278,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,735.66 : 512,988.90 = 201,968.57 : x
  2. Step 2: Convert to fraction form
    371,735.66/512,988.90 = 201,968.57/x
  3. Step 3: Cross multiply
    371,735.66x = 512,988.90 × 201,968.57
  4. Step 4: Simplify right side
    371,735.66x = 103,607,635,083.96
  5. Step 5: Solve for x
    x = 103,607,635,083.96/371,735.66
  6. Step 6: Final answer
    x = 278,713.20

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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.