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Finding the Fourth Proportional to 490,846.74, 677,205.56 and 400,046.56

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Solution

The fourth proportional to 490,846.74, 677,205.56 and 400,046.56 is: 551,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,846.74 : 677,205.56 = 400,046.56 : x
  2. Step 2: Convert to fraction form
    490,846.74/677,205.56 = 400,046.56/x
  3. Step 3: Cross multiply
    490,846.74x = 677,205.56 × 400,046.56
  4. Step 4: Simplify right side
    490,846.74x = 270,913,754,690.87
  5. Step 5: Solve for x
    x = 270,913,754,690.87/490,846.74
  6. Step 6: Final answer
    x = 551,931.45

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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.