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Finding the Fourth Proportional to 294,290.40, 440,269.20 and 255,280.80

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Solution

The fourth proportional to 294,290.40, 440,269.20 and 255,280.80 is: 381,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,290.40 : 440,269.20 = 255,280.80 : x
  2. Step 2: Convert to fraction form
    294,290.40/440,269.20 = 255,280.80/x
  3. Step 3: Cross multiply
    294,290.40x = 440,269.20 × 255,280.80
  4. Step 4: Simplify right side
    294,290.40x = 112,392,273,591.36
  5. Step 5: Solve for x
    x = 112,392,273,591.36/294,290.40
  6. Step 6: Final answer
    x = 381,909.41

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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.