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Finding the Fourth Proportional to 256,742.46, 385,302.96 and 121,807.08

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Solution

The fourth proportional to 256,742.46, 385,302.96 and 121,807.08 is: 182,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,742.46 : 385,302.96 = 121,807.08 : x
  2. Step 2: Convert to fraction form
    256,742.46/385,302.96 = 121,807.08/x
  3. Step 3: Cross multiply
    256,742.46x = 385,302.96 × 121,807.08
  4. Step 4: Simplify right side
    256,742.46x = 46,932,628,472.96
  5. Step 5: Solve for x
    x = 46,932,628,472.96/256,742.46
  6. Step 6: Final answer
    x = 182,800.42

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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.