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Finding the Fourth Proportional to 256,495.20, 384,051.60 and 185,992.80

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Solution

The fourth proportional to 256,495.20, 384,051.60 and 185,992.80 is: 278,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,495.20 : 384,051.60 = 185,992.80 : x
  2. Step 2: Convert to fraction form
    256,495.20/384,051.60 = 185,992.80/x
  3. Step 3: Cross multiply
    256,495.20x = 384,051.60 × 185,992.80
  4. Step 4: Simplify right side
    256,495.20x = 71,430,832,428.48
  5. Step 5: Solve for x
    x = 71,430,832,428.48/256,495.20
  6. Step 6: Final answer
    x = 278,487.99

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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.