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Finding the Fourth Proportional to 256,262.44, 384,430.42 and 78,784.35

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Solution

The fourth proportional to 256,262.44, 384,430.42 and 78,784.35 is: 118,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,262.44 : 384,430.42 = 78,784.35 : x
  2. Step 2: Convert to fraction form
    256,262.44/384,430.42 = 78,784.35/x
  3. Step 3: Cross multiply
    256,262.44x = 384,430.42 × 78,784.35
  4. Step 4: Simplify right side
    256,262.44x = 30,287,100,759.93
  5. Step 5: Solve for x
    x = 30,287,100,759.93/256,262.44
  6. Step 6: Final answer
    x = 118,187.83

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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.