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Finding the Fourth Proportional to 297,807.70, 446,711.55 and 209,161.30

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Solution

The fourth proportional to 297,807.70, 446,711.55 and 209,161.30 is: 313,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,807.70 : 446,711.55 = 209,161.30 : x
  2. Step 2: Convert to fraction form
    297,807.70/446,711.55 = 209,161.30/x
  3. Step 3: Cross multiply
    297,807.70x = 446,711.55 × 209,161.30
  4. Step 4: Simplify right side
    297,807.70x = 93,434,768,523.02
  5. Step 5: Solve for x
    x = 93,434,768,523.02/297,807.70
  6. Step 6: Final answer
    x = 313,741.95

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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.