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Finding the Fourth Proportional to 646,051.88, 969,188.52 and 219,542.60

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Solution

The fourth proportional to 646,051.88, 969,188.52 and 219,542.60 is: 329,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,051.88 : 969,188.52 = 219,542.60 : x
  2. Step 2: Convert to fraction form
    646,051.88/969,188.52 = 219,542.60/x
  3. Step 3: Cross multiply
    646,051.88x = 969,188.52 × 219,542.60
  4. Step 4: Simplify right side
    646,051.88x = 212,778,167,570.95
  5. Step 5: Solve for x
    x = 212,778,167,570.95/646,051.88
  6. Step 6: Final answer
    x = 329,351.52

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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.