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Finding the Fourth Proportional to 256,713.99, 384,906.96 and 123,328.86

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Solution

The fourth proportional to 256,713.99, 384,906.96 and 123,328.86 is: 184,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,713.99 : 384,906.96 = 123,328.86 : x
  2. Step 2: Convert to fraction form
    256,713.99/384,906.96 = 123,328.86/x
  3. Step 3: Cross multiply
    256,713.99x = 384,906.96 × 123,328.86
  4. Step 4: Simplify right side
    256,713.99x = 47,470,136,582.87
  5. Step 5: Solve for x
    x = 47,470,136,582.87/256,713.99
  6. Step 6: Final answer
    x = 184,914.49

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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.