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Finding the Fourth Proportional to 208,830.20, 312,899.70 and 177,726.20

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Solution

The fourth proportional to 208,830.20, 312,899.70 and 177,726.20 is: 266,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,830.20 : 312,899.70 = 177,726.20 : x
  2. Step 2: Convert to fraction form
    208,830.20/312,899.70 = 177,726.20/x
  3. Step 3: Cross multiply
    208,830.20x = 312,899.70 × 177,726.20
  4. Step 4: Simplify right side
    208,830.20x = 55,610,474,662.14
  5. Step 5: Solve for x
    x = 55,610,474,662.14/208,830.20
  6. Step 6: Final answer
    x = 266,295.18

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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.