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Finding the Fourth Proportional to 256,526.82, 384,815.75 and 209,586.51

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Solution

The fourth proportional to 256,526.82, 384,815.75 and 209,586.51 is: 314,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,526.82 : 384,815.75 = 209,586.51 : x
  2. Step 2: Convert to fraction form
    256,526.82/384,815.75 = 209,586.51/x
  3. Step 3: Cross multiply
    256,526.82x = 384,815.75 × 209,586.51
  4. Step 4: Simplify right side
    256,526.82x = 80,652,188,987.60
  5. Step 5: Solve for x
    x = 80,652,188,987.60/256,526.82
  6. Step 6: Final answer
    x = 314,400.61

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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.