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Finding the Fourth Proportional to 371,520, 512,693.06 and 201,755.34

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Solution

The fourth proportional to 371,520, 512,693.06 and 201,755.34 is: 278,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,520 : 512,693.06 = 201,755.34 : x
  2. Step 2: Convert to fraction form
    371,520/512,693.06 = 201,755.34/x
  3. Step 3: Cross multiply
    371,520x = 512,693.06 × 201,755.34
  4. Step 4: Simplify right side
    371,520x = 103,438,562,635.94
  5. Step 5: Solve for x
    x = 103,438,562,635.94/371,520
  6. Step 6: Final answer
    x = 278,419.90

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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.