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Finding the Fourth Proportional to 256,409.82, 384,661.20 and 128,392.86

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Solution

The fourth proportional to 256,409.82, 384,661.20 and 128,392.86 is: 192,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,409.82 : 384,661.20 = 128,392.86 : x
  2. Step 2: Convert to fraction form
    256,409.82/384,661.20 = 128,392.86/x
  3. Step 3: Cross multiply
    256,409.82x = 384,661.20 × 128,392.86
  4. Step 4: Simplify right side
    256,409.82x = 49,387,753,522.98
  5. Step 5: Solve for x
    x = 49,387,753,522.98/256,409.82
  6. Step 6: Final answer
    x = 192,612.57

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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.