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Finding the Fourth Proportional to 381,354.08, 572,181.60 and 144,759.56

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Solution

The fourth proportional to 381,354.08, 572,181.60 and 144,759.56 is: 217,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,354.08 : 572,181.60 = 144,759.56 : x
  2. Step 2: Convert to fraction form
    381,354.08/572,181.60 = 144,759.56/x
  3. Step 3: Cross multiply
    381,354.08x = 572,181.60 × 144,759.56
  4. Step 4: Simplify right side
    381,354.08x = 82,828,756,656.10
  5. Step 5: Solve for x
    x = 82,828,756,656.10/381,354.08
  6. Step 6: Final answer
    x = 217,196.46

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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.