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Finding the Fourth Proportional to 256,913.54, 384,871.58 and 189,322.88

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Solution

The fourth proportional to 256,913.54, 384,871.58 and 189,322.88 is: 283,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,913.54 : 384,871.58 = 189,322.88 : x
  2. Step 2: Convert to fraction form
    256,913.54/384,871.58 = 189,322.88/x
  3. Step 3: Cross multiply
    256,913.54x = 384,871.58 × 189,322.88
  4. Step 4: Simplify right side
    256,913.54x = 72,864,994,504.70
  5. Step 5: Solve for x
    x = 72,864,994,504.70/256,913.54
  6. Step 6: Final answer
    x = 283,616.80

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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.