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Finding the Fourth Proportional to 405,351, 608,021.64 and 380,689.02

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Solution

The fourth proportional to 405,351, 608,021.64 and 380,689.02 is: 571,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,351 : 608,021.64 = 380,689.02 : x
  2. Step 2: Convert to fraction form
    405,351/608,021.64 = 380,689.02/x
  3. Step 3: Cross multiply
    405,351x = 608,021.64 × 380,689.02
  4. Step 4: Simplify right side
    405,351x = 231,467,162,270.39
  5. Step 5: Solve for x
    x = 231,467,162,270.39/405,351
  6. Step 6: Final answer
    x = 571,028.97

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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.