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Finding the Fourth Proportional to 256,174.68, 384,313.86 and 89,975.64

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Solution

The fourth proportional to 256,174.68, 384,313.86 and 89,975.64 is: 134,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,174.68 : 384,313.86 = 89,975.64 : x
  2. Step 2: Convert to fraction form
    256,174.68/384,313.86 = 89,975.64/x
  3. Step 3: Cross multiply
    256,174.68x = 384,313.86 × 89,975.64
  4. Step 4: Simplify right side
    256,174.68x = 34,578,885,514.37
  5. Step 5: Solve for x
    x = 34,578,885,514.37/256,174.68
  6. Step 6: Final answer
    x = 134,981.67

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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.