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Finding the Fourth Proportional to 642,394.40, 886,511.40 and 355,919

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Solution

The fourth proportional to 642,394.40, 886,511.40 and 355,919 is: 491,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,394.40 : 886,511.40 = 355,919 : x
  2. Step 2: Convert to fraction form
    642,394.40/886,511.40 = 355,919/x
  3. Step 3: Cross multiply
    642,394.40x = 886,511.40 × 355,919
  4. Step 4: Simplify right side
    642,394.40x = 315,526,250,976.60
  5. Step 5: Solve for x
    x = 315,526,250,976.60/642,394.40
  6. Step 6: Final answer
    x = 491,172.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.