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Finding the Fourth Proportional to 447,147.40, 616,750.74 and 303,658.12

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Solution

The fourth proportional to 447,147.40, 616,750.74 and 303,658.12 is: 418,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,147.40 : 616,750.74 = 303,658.12 : x
  2. Step 2: Convert to fraction form
    447,147.40/616,750.74 = 303,658.12/x
  3. Step 3: Cross multiply
    447,147.40x = 616,750.74 × 303,658.12
  4. Step 4: Simplify right side
    447,147.40x = 187,281,370,217.01
  5. Step 5: Solve for x
    x = 187,281,370,217.01/447,147.40
  6. Step 6: Final answer
    x = 418,835.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.