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Finding the Fourth Proportional to 397,165.20, 595,091.70 and 338,116.20

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Solution

The fourth proportional to 397,165.20, 595,091.70 and 338,116.20 is: 506,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,165.20 : 595,091.70 = 338,116.20 : x
  2. Step 2: Convert to fraction form
    397,165.20/595,091.70 = 338,116.20/x
  3. Step 3: Cross multiply
    397,165.20x = 595,091.70 × 338,116.20
  4. Step 4: Simplify right side
    397,165.20x = 201,210,144,255.54
  5. Step 5: Solve for x
    x = 201,210,144,255.54/397,165.20
  6. Step 6: Final answer
    x = 506,615.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.