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Finding the Fourth Proportional to 256,698, 385,202.54 and 108,954

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Solution

The fourth proportional to 256,698, 385,202.54 and 108,954 is: 163,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,698 : 385,202.54 = 108,954 : x
  2. Step 2: Convert to fraction form
    256,698/385,202.54 = 108,954/x
  3. Step 3: Cross multiply
    256,698x = 385,202.54 × 108,954
  4. Step 4: Simplify right side
    256,698x = 41,969,357,543.16
  5. Step 5: Solve for x
    x = 41,969,357,543.16/256,698
  6. Step 6: Final answer
    x = 163,497.02

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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.