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Finding the Fourth Proportional to 208,308.62, 287,471.22 and 127,780.58

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Solution

The fourth proportional to 208,308.62, 287,471.22 and 127,780.58 is: 176,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,308.62 : 287,471.22 = 127,780.58 : x
  2. Step 2: Convert to fraction form
    208,308.62/287,471.22 = 127,780.58/x
  3. Step 3: Cross multiply
    208,308.62x = 287,471.22 × 127,780.58
  4. Step 4: Simplify right side
    208,308.62x = 36,733,239,224.91
  5. Step 5: Solve for x
    x = 36,733,239,224.91/208,308.62
  6. Step 6: Final answer
    x = 176,340.47

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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.