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Finding the Fourth Proportional to 381,076.64, 571,116.65 and 156,173.76

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Solution

The fourth proportional to 381,076.64, 571,116.65 and 156,173.76 is: 234,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,076.64 : 571,116.65 = 156,173.76 : x
  2. Step 2: Convert to fraction form
    381,076.64/571,116.65 = 156,173.76/x
  3. Step 3: Cross multiply
    381,076.64x = 571,116.65 × 156,173.76
  4. Step 4: Simplify right side
    381,076.64x = 89,193,434,629.10
  5. Step 5: Solve for x
    x = 89,193,434,629.10/381,076.64
  6. Step 6: Final answer
    x = 234,056.42

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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.