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Finding the Fourth Proportional to 256,999.42, 385,291.29 and 107,354.32

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Solution

The fourth proportional to 256,999.42, 385,291.29 and 107,354.32 is: 160,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,999.42 : 385,291.29 = 107,354.32 : x
  2. Step 2: Convert to fraction form
    256,999.42/385,291.29 = 107,354.32/x
  3. Step 3: Cross multiply
    256,999.42x = 385,291.29 × 107,354.32
  4. Step 4: Simplify right side
    256,999.42x = 41,362,684,439.87
  5. Step 5: Solve for x
    x = 41,362,684,439.87/256,999.42
  6. Step 6: Final answer
    x = 160,944.66

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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.