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Finding the Fourth Proportional to 256,994.82, 383,930.34 and 166,298.67

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Solution

The fourth proportional to 256,994.82, 383,930.34 and 166,298.67 is: 248,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,994.82 : 383,930.34 = 166,298.67 : x
  2. Step 2: Convert to fraction form
    256,994.82/383,930.34 = 166,298.67/x
  3. Step 3: Cross multiply
    256,994.82x = 383,930.34 × 166,298.67
  4. Step 4: Simplify right side
    256,994.82x = 63,847,104,498.90
  5. Step 5: Solve for x
    x = 63,847,104,498.90/256,994.82
  6. Step 6: Final answer
    x = 248,437.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.