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Finding the Fourth Proportional to 256,074.40, 384,111.60 and 177,277.60

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Solution

The fourth proportional to 256,074.40, 384,111.60 and 177,277.60 is: 265,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,074.40 : 384,111.60 = 177,277.60 : x
  2. Step 2: Convert to fraction form
    256,074.40/384,111.60 = 177,277.60/x
  3. Step 3: Cross multiply
    256,074.40x = 384,111.60 × 177,277.60
  4. Step 4: Simplify right side
    256,074.40x = 68,094,382,580.16
  5. Step 5: Solve for x
    x = 68,094,382,580.16/256,074.40
  6. Step 6: Final answer
    x = 265,916.40

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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.