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Finding the Fourth Proportional to 538,705.94, 743,408.19 and 309,268.71

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Solution

The fourth proportional to 538,705.94, 743,408.19 and 309,268.71 is: 426,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,705.94 : 743,408.19 = 309,268.71 : x
  2. Step 2: Convert to fraction form
    538,705.94/743,408.19 = 309,268.71/x
  3. Step 3: Cross multiply
    538,705.94x = 743,408.19 × 309,268.71
  4. Step 4: Simplify right side
    538,705.94x = 229,912,891,924.74
  5. Step 5: Solve for x
    x = 229,912,891,924.74/538,705.94
  6. Step 6: Final answer
    x = 426,787.38

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1.5x scale

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.