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Finding the Fourth Proportional to 278,409.39, 384,205.21 and 151,084.98

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Solution

The fourth proportional to 278,409.39, 384,205.21 and 151,084.98 is: 208,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,409.39 : 384,205.21 = 151,084.98 : x
  2. Step 2: Convert to fraction form
    278,409.39/384,205.21 = 151,084.98/x
  3. Step 3: Cross multiply
    278,409.39x = 384,205.21 × 151,084.98
  4. Step 4: Simplify right side
    278,409.39x = 58,047,636,091.03
  5. Step 5: Solve for x
    x = 58,047,636,091.03/278,409.39
  6. Step 6: Final answer
    x = 208,497.41

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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.