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Finding the Fourth Proportional to 256,998.42, 385,289.79 and 107,353.32

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Solution

The fourth proportional to 256,998.42, 385,289.79 and 107,353.32 is: 160,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,998.42 : 385,289.79 = 107,353.32 : x
  2. Step 2: Convert to fraction form
    256,998.42/385,289.79 = 107,353.32/x
  3. Step 3: Cross multiply
    256,998.42x = 385,289.79 × 107,353.32
  4. Step 4: Simplify right side
    256,998.42x = 41,362,138,118.60
  5. Step 5: Solve for x
    x = 41,362,138,118.60/256,998.42
  6. Step 6: Final answer
    x = 160,943.16

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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.