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Finding the Fourth Proportional to 256,295.10, 384,406.20 and 87,823.20

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Solution

The fourth proportional to 256,295.10, 384,406.20 and 87,823.20 is: 131,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,295.10 : 384,406.20 = 87,823.20 : x
  2. Step 2: Convert to fraction form
    256,295.10/384,406.20 = 87,823.20/x
  3. Step 3: Cross multiply
    256,295.10x = 384,406.20 × 87,823.20
  4. Step 4: Simplify right side
    256,295.10x = 33,759,782,583.84
  5. Step 5: Solve for x
    x = 33,759,782,583.84/256,295.10
  6. Step 6: Final answer
    x = 131,722.31

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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.