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Finding the Fourth Proportional to 447,103.62, 670,738.32 and 147,605.04

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Solution

The fourth proportional to 447,103.62, 670,738.32 and 147,605.04 is: 221,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,103.62 : 670,738.32 = 147,605.04 : x
  2. Step 2: Convert to fraction form
    447,103.62/670,738.32 = 147,605.04/x
  3. Step 3: Cross multiply
    447,103.62x = 670,738.32 × 147,605.04
  4. Step 4: Simplify right side
    447,103.62x = 99,004,356,553.13
  5. Step 5: Solve for x
    x = 99,004,356,553.13/447,103.62
  6. Step 6: Final answer
    x = 221,434.92

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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.