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Finding the Fourth Proportional to 256,090.65, 384,135.98 and 123,230.40

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Solution

The fourth proportional to 256,090.65, 384,135.98 and 123,230.40 is: 184,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,090.65 : 384,135.98 = 123,230.40 : x
  2. Step 2: Convert to fraction form
    256,090.65/384,135.98 = 123,230.40/x
  3. Step 3: Cross multiply
    256,090.65x = 384,135.98 × 123,230.40
  4. Step 4: Simplify right side
    256,090.65x = 47,337,229,853.64
  5. Step 5: Solve for x
    x = 47,337,229,853.64/256,090.65
  6. Step 6: Final answer
    x = 184,845.60

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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.