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Finding the Fourth Proportional to 256,879.60, 384,829.80 and 138,511.60

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Solution

The fourth proportional to 256,879.60, 384,829.80 and 138,511.60 is: 207,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,879.60 : 384,829.80 = 138,511.60 : x
  2. Step 2: Convert to fraction form
    256,879.60/384,829.80 = 138,511.60/x
  3. Step 3: Cross multiply
    256,879.60x = 384,829.80 × 138,511.60
  4. Step 4: Simplify right side
    256,879.60x = 53,303,391,325.68
  5. Step 5: Solve for x
    x = 53,303,391,325.68/256,879.60
  6. Step 6: Final answer
    x = 207,503.40

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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.