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Finding the Fourth Proportional to 278,409.20, 384,006.20 and 255,512.81

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Solution

The fourth proportional to 278,409.20, 384,006.20 and 255,512.81 is: 352,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,409.20 : 384,006.20 = 255,512.81 : x
  2. Step 2: Convert to fraction form
    278,409.20/384,006.20 = 255,512.81/x
  3. Step 3: Cross multiply
    278,409.20x = 384,006.20 × 255,512.81
  4. Step 4: Simplify right side
    278,409.20x = 98,118,504,818.22
  5. Step 5: Solve for x
    x = 98,118,504,818.22/278,409.20
  6. Step 6: Final answer
    x = 352,425.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.