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Finding the Fourth Proportional to 490,209.40, 735,335.70 and 276,974.20

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Solution

The fourth proportional to 490,209.40, 735,335.70 and 276,974.20 is: 415,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,209.40 : 735,335.70 = 276,974.20 : x
  2. Step 2: Convert to fraction form
    490,209.40/735,335.70 = 276,974.20/x
  3. Step 3: Cross multiply
    490,209.40x = 735,335.70 × 276,974.20
  4. Step 4: Simplify right side
    490,209.40x = 203,669,017,238.94
  5. Step 5: Solve for x
    x = 203,669,017,238.94/490,209.40
  6. Step 6: Final answer
    x = 415,473.50

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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.