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Finding the Fourth Proportional to 256,795.64, 384,877.97 and 144,239.25

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Solution

The fourth proportional to 256,795.64, 384,877.97 and 144,239.25 is: 216,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,795.64 : 384,877.97 = 144,239.25 : x
  2. Step 2: Convert to fraction form
    256,795.64/384,877.97 = 144,239.25/x
  3. Step 3: Cross multiply
    256,795.64x = 384,877.97 × 144,239.25
  4. Step 4: Simplify right side
    256,795.64x = 55,514,509,734.32
  5. Step 5: Solve for x
    x = 55,514,509,734.32/256,795.64
  6. Step 6: Final answer
    x = 216,181.67

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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.