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Finding the Fourth Proportional to 439,768, 659,604.48 and 298,518.40

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Solution

The fourth proportional to 439,768, 659,604.48 and 298,518.40 is: 447,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,768 : 659,604.48 = 298,518.40 : x
  2. Step 2: Convert to fraction form
    439,768/659,604.48 = 298,518.40/x
  3. Step 3: Cross multiply
    439,768x = 659,604.48 × 298,518.40
  4. Step 4: Simplify right side
    439,768x = 196,904,074,002.43
  5. Step 5: Solve for x
    x = 196,904,074,002.43/439,768
  6. Step 6: Final answer
    x = 447,745.34

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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.