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Finding the Fourth Proportional to 543,542.81, 815,409.72 and 206,612.91

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Solution

The fourth proportional to 543,542.81, 815,409.72 and 206,612.91 is: 309,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,542.81 : 815,409.72 = 206,612.91 : x
  2. Step 2: Convert to fraction form
    543,542.81/815,409.72 = 206,612.91/x
  3. Step 3: Cross multiply
    543,542.81x = 815,409.72 × 206,612.91
  4. Step 4: Simplify right side
    543,542.81x = 168,474,175,091.49
  5. Step 5: Solve for x
    x = 168,474,175,091.49/543,542.81
  6. Step 6: Final answer
    x = 309,955.67

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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.