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Finding the Fourth Proportional to 429,238.96, 643,919.88 and 133,774

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Solution

The fourth proportional to 429,238.96, 643,919.88 and 133,774 is: 200,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,238.96 : 643,919.88 = 133,774 : x
  2. Step 2: Convert to fraction form
    429,238.96/643,919.88 = 133,774/x
  3. Step 3: Cross multiply
    429,238.96x = 643,919.88 × 133,774
  4. Step 4: Simplify right side
    429,238.96x = 86,139,738,027.12
  5. Step 5: Solve for x
    x = 86,139,738,027.12/429,238.96
  6. Step 6: Final answer
    x = 200,680.15

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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.