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Finding the Fourth Proportional to 256,906.99, 385,095.61 and 107,234.38

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Solution

The fourth proportional to 256,906.99, 385,095.61 and 107,234.38 is: 160,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,906.99 : 385,095.61 = 107,234.38 : x
  2. Step 2: Convert to fraction form
    256,906.99/385,095.61 = 107,234.38/x
  3. Step 3: Cross multiply
    256,906.99x = 385,095.61 × 107,234.38
  4. Step 4: Simplify right side
    256,906.99x = 41,295,488,979.07
  5. Step 5: Solve for x
    x = 41,295,488,979.07/256,906.99
  6. Step 6: Final answer
    x = 160,741.01

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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.