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Finding the Fourth Proportional to 298,782.45, 412,303.86 and 171,449.64

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Solution

The fourth proportional to 298,782.45, 412,303.86 and 171,449.64 is: 236,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,782.45 : 412,303.86 = 171,449.64 : x
  2. Step 2: Convert to fraction form
    298,782.45/412,303.86 = 171,449.64/x
  3. Step 3: Cross multiply
    298,782.45x = 412,303.86 × 171,449.64
  4. Step 4: Simplify right side
    298,782.45x = 70,689,348,367.61
  5. Step 5: Solve for x
    x = 70,689,348,367.61/298,782.45
  6. Step 6: Final answer
    x = 236,591.37

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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.