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Finding the Fourth Proportional to 256,578.60, 384,608.70 and 116,437.80

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Solution

The fourth proportional to 256,578.60, 384,608.70 and 116,437.80 is: 174,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,578.60 : 384,608.70 = 116,437.80 : x
  2. Step 2: Convert to fraction form
    256,578.60/384,608.70 = 116,437.80/x
  3. Step 3: Cross multiply
    256,578.60x = 384,608.70 × 116,437.80
  4. Step 4: Simplify right side
    256,578.60x = 44,782,990,888.86
  5. Step 5: Solve for x
    x = 44,782,990,888.86/256,578.60
  6. Step 6: Final answer
    x = 174,539.07

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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.