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Finding the Fourth Proportional to 256,257.20, 384,468.01 and 123,147.11

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Solution

The fourth proportional to 256,257.20, 384,468.01 and 123,147.11 is: 184,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,257.20 : 384,468.01 = 123,147.11 : x
  2. Step 2: Convert to fraction form
    256,257.20/384,468.01 = 123,147.11/x
  3. Step 3: Cross multiply
    256,257.20x = 384,468.01 × 123,147.11
  4. Step 4: Simplify right side
    256,257.20x = 47,346,122,088.74
  5. Step 5: Solve for x
    x = 47,346,122,088.74/256,257.20
  6. Step 6: Final answer
    x = 184,760.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.