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Finding the Fourth Proportional to 278,303.75, 384,059.22 and 157,442.54

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Solution

The fourth proportional to 278,303.75, 384,059.22 and 157,442.54 is: 217,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,303.75 : 384,059.22 = 157,442.54 : x
  2. Step 2: Convert to fraction form
    278,303.75/384,059.22 = 157,442.54/x
  3. Step 3: Cross multiply
    278,303.75x = 384,059.22 × 157,442.54
  4. Step 4: Simplify right side
    278,303.75x = 60,467,257,482.13
  5. Step 5: Solve for x
    x = 60,467,257,482.13/278,303.75
  6. Step 6: Final answer
    x = 217,270.73

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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.