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Finding the Fourth Proportional to 297,390.71, 446,086.70 and 209,039.56

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Solution

The fourth proportional to 297,390.71, 446,086.70 and 209,039.56 is: 313,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,390.71 : 446,086.70 = 209,039.56 : x
  2. Step 2: Convert to fraction form
    297,390.71/446,086.70 = 209,039.56/x
  3. Step 3: Cross multiply
    297,390.71x = 446,086.70 × 209,039.56
  4. Step 4: Simplify right side
    297,390.71x = 93,249,767,489.85
  5. Step 5: Solve for x
    x = 93,249,767,489.85/297,390.71
  6. Step 6: Final answer
    x = 313,559.79

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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.