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Finding the Fourth Proportional to 297,816.30, 446,724.45 and 278,133.30

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Solution

The fourth proportional to 297,816.30, 446,724.45 and 278,133.30 is: 417,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,816.30 : 446,724.45 = 278,133.30 : x
  2. Step 2: Convert to fraction form
    297,816.30/446,724.45 = 278,133.30/x
  3. Step 3: Cross multiply
    297,816.30x = 446,724.45 × 278,133.30
  4. Step 4: Simplify right side
    297,816.30x = 124,248,945,469.19
  5. Step 5: Solve for x
    x = 124,248,945,469.19/297,816.30
  6. Step 6: Final answer
    x = 417,199.95

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1.5x scale

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.