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Finding the Fourth Proportional to 256,665.60, 384,998.40 and 106,856.10

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Solution

The fourth proportional to 256,665.60, 384,998.40 and 106,856.10 is: 160,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,665.60 : 384,998.40 = 106,856.10 : x
  2. Step 2: Convert to fraction form
    256,665.60/384,998.40 = 106,856.10/x
  3. Step 3: Cross multiply
    256,665.60x = 384,998.40 × 106,856.10
  4. Step 4: Simplify right side
    256,665.60x = 41,139,427,530.24
  5. Step 5: Solve for x
    x = 41,139,427,530.24/256,665.60
  6. Step 6: Final answer
    x = 160,284.15

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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.