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Finding the Fourth Proportional to 616,165.94, 923,443.72 and 445,960.74

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Solution

The fourth proportional to 616,165.94, 923,443.72 and 445,960.74 is: 668,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,165.94 : 923,443.72 = 445,960.74 : x
  2. Step 2: Convert to fraction form
    616,165.94/923,443.72 = 445,960.74/x
  3. Step 3: Cross multiply
    616,165.94x = 923,443.72 × 445,960.74
  4. Step 4: Simplify right side
    616,165.94x = 411,819,647,067.57
  5. Step 5: Solve for x
    x = 411,819,647,067.57/616,165.94
  6. Step 6: Final answer
    x = 668,358.34

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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.