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Finding the Fourth Proportional to 256,846.34, 385,367.93 and 96,911.03

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Solution

The fourth proportional to 256,846.34, 385,367.93 and 96,911.03 is: 145,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,846.34 : 385,367.93 = 96,911.03 : x
  2. Step 2: Convert to fraction form
    256,846.34/385,367.93 = 96,911.03/x
  3. Step 3: Cross multiply
    256,846.34x = 385,367.93 × 96,911.03
  4. Step 4: Simplify right side
    256,846.34x = 37,346,403,867.55
  5. Step 5: Solve for x
    x = 37,346,403,867.55/256,846.34
  6. Step 6: Final answer
    x = 145,403.68

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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.