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Finding the Fourth Proportional to 381,725.56, 572,410.58 and 141,672.26

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Solution

The fourth proportional to 381,725.56, 572,410.58 and 141,672.26 is: 212,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,725.56 : 572,410.58 = 141,672.26 : x
  2. Step 2: Convert to fraction form
    381,725.56/572,410.58 = 141,672.26/x
  3. Step 3: Cross multiply
    381,725.56x = 572,410.58 × 141,672.26
  4. Step 4: Simplify right side
    381,725.56x = 81,094,700,516.51
  5. Step 5: Solve for x
    x = 81,094,700,516.51/381,725.56
  6. Step 6: Final answer
    x = 212,442.42

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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.