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Finding the Fourth Proportional to 256,499.10, 384,748.74 and 66,958.92

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Solution

The fourth proportional to 256,499.10, 384,748.74 and 66,958.92 is: 100,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,499.10 : 384,748.74 = 66,958.92 : x
  2. Step 2: Convert to fraction form
    256,499.10/384,748.74 = 66,958.92/x
  3. Step 3: Cross multiply
    256,499.10x = 384,748.74 × 66,958.92
  4. Step 4: Simplify right side
    256,499.10x = 25,762,360,101.76
  5. Step 5: Solve for x
    x = 25,762,360,101.76/256,499.10
  6. Step 6: Final answer
    x = 100,438.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.