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Finding the Fourth Proportional to 278,137.80, 417,336.30 and 208,153.80

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Solution

The fourth proportional to 278,137.80, 417,336.30 and 208,153.80 is: 312,327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,137.80 : 417,336.30 = 208,153.80 : x
  2. Step 2: Convert to fraction form
    278,137.80/417,336.30 = 208,153.80/x
  3. Step 3: Cross multiply
    278,137.80x = 417,336.30 × 208,153.80
  4. Step 4: Simplify right side
    278,137.80x = 86,870,136,722.94
  5. Step 5: Solve for x
    x = 86,870,136,722.94/278,137.80
  6. Step 6: Final answer
    x = 312,327.69

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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.