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Finding the Fourth Proportional to 256,369.32, 384,636.06 and 123,259.32

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Solution

The fourth proportional to 256,369.32, 384,636.06 and 123,259.32 is: 184,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,369.32 : 384,636.06 = 123,259.32 : x
  2. Step 2: Convert to fraction form
    256,369.32/384,636.06 = 123,259.32/x
  3. Step 3: Cross multiply
    256,369.32x = 384,636.06 × 123,259.32
  4. Step 4: Simplify right side
    256,369.32x = 47,409,979,203.08
  5. Step 5: Solve for x
    x = 47,409,979,203.08/256,369.32
  6. Step 6: Final answer
    x = 184,928.44

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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.