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Finding the Fourth Proportional to 371,664.36, 512,870.88 and 206,090.88

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Solution

The fourth proportional to 371,664.36, 512,870.88 and 206,090.88 is: 284,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,664.36 : 512,870.88 = 206,090.88 : x
  2. Step 2: Convert to fraction form
    371,664.36/512,870.88 = 206,090.88/x
  3. Step 3: Cross multiply
    371,664.36x = 512,870.88 × 206,090.88
  4. Step 4: Simplify right side
    371,664.36x = 105,698,010,985.57
  5. Step 5: Solve for x
    x = 105,698,010,985.57/371,664.36
  6. Step 6: Final answer
    x = 284,391.03

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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.