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Finding the Fourth Proportional to 208,385.66, 312,959.82 and 190,818.56

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Solution

The fourth proportional to 208,385.66, 312,959.82 and 190,818.56 is: 286,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,385.66 : 312,959.82 = 190,818.56 : x
  2. Step 2: Convert to fraction form
    208,385.66/312,959.82 = 190,818.56/x
  3. Step 3: Cross multiply
    208,385.66x = 312,959.82 × 190,818.56
  4. Step 4: Simplify right side
    208,385.66x = 59,718,542,190.26
  5. Step 5: Solve for x
    x = 59,718,542,190.26/208,385.66
  6. Step 6: Final answer
    x = 286,577.02

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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.