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Finding the Fourth Proportional to 256,903.74, 385,090.74 and 107,231.13

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Solution

The fourth proportional to 256,903.74, 385,090.74 and 107,231.13 is: 160,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,903.74 : 385,090.74 = 107,231.13 : x
  2. Step 2: Convert to fraction form
    256,903.74/385,090.74 = 107,231.13/x
  3. Step 3: Cross multiply
    256,903.74x = 385,090.74 × 107,231.13
  4. Step 4: Simplify right side
    256,903.74x = 41,293,715,202.74
  5. Step 5: Solve for x
    x = 41,293,715,202.74/256,903.74
  6. Step 6: Final answer
    x = 160,736.14

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1.5x scale

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.