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Finding the Fourth Proportional to 289,675.40, 434,513.10 and 219,691.40

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Solution

The fourth proportional to 289,675.40, 434,513.10 and 219,691.40 is: 329,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,675.40 : 434,513.10 = 219,691.40 : x
  2. Step 2: Convert to fraction form
    289,675.40/434,513.10 = 219,691.40/x
  3. Step 3: Cross multiply
    289,675.40x = 434,513.10 × 219,691.40
  4. Step 4: Simplify right side
    289,675.40x = 95,458,791,257.34
  5. Step 5: Solve for x
    x = 95,458,791,257.34/289,675.40
  6. Step 6: Final answer
    x = 329,537.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.