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Finding the Fourth Proportional to 256,328.80, 384,404.15 and 142,650.09

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Solution

The fourth proportional to 256,328.80, 384,404.15 and 142,650.09 is: 213,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,328.80 : 384,404.15 = 142,650.09 : x
  2. Step 2: Convert to fraction form
    256,328.80/384,404.15 = 142,650.09/x
  3. Step 3: Cross multiply
    256,328.80x = 384,404.15 × 142,650.09
  4. Step 4: Simplify right side
    256,328.80x = 54,835,285,251.37
  5. Step 5: Solve for x
    x = 54,835,285,251.37/256,328.80
  6. Step 6: Final answer
    x = 213,925.57

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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.