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Finding the Fourth Proportional to 486,447.73, 726,477.86 and 414,604.78

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Solution

The fourth proportional to 486,447.73, 726,477.86 and 414,604.78 is: 619,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,447.73 : 726,477.86 = 414,604.78 : x
  2. Step 2: Convert to fraction form
    486,447.73/726,477.86 = 414,604.78/x
  3. Step 3: Cross multiply
    486,447.73x = 726,477.86 × 414,604.78
  4. Step 4: Simplify right side
    486,447.73x = 301,201,192,540.49
  5. Step 5: Solve for x
    x = 301,201,192,540.49/486,447.73
  6. Step 6: Final answer
    x = 619,185.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.