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Finding the Fourth Proportional to 256,689, 385,189.02 and 108,945

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Solution

The fourth proportional to 256,689, 385,189.02 and 108,945 is: 163,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,689 : 385,189.02 = 108,945 : x
  2. Step 2: Convert to fraction form
    256,689/385,189.02 = 108,945/x
  3. Step 3: Cross multiply
    256,689x = 385,189.02 × 108,945
  4. Step 4: Simplify right side
    256,689x = 41,964,417,783.90
  5. Step 5: Solve for x
    x = 41,964,417,783.90/256,689
  6. Step 6: Final answer
    x = 163,483.51

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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.