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Finding the Fourth Proportional to 305,858.40, 457,880.40 and 227,320.80

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Solution

The fourth proportional to 305,858.40, 457,880.40 and 227,320.80 is: 340,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,858.40 : 457,880.40 = 227,320.80 : x
  2. Step 2: Convert to fraction form
    305,858.40/457,880.40 = 227,320.80/x
  3. Step 3: Cross multiply
    305,858.40x = 457,880.40 × 227,320.80
  4. Step 4: Simplify right side
    305,858.40x = 104,085,738,832.32
  5. Step 5: Solve for x
    x = 104,085,738,832.32/305,858.40
  6. Step 6: Final answer
    x = 340,306.95

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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.