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Finding the Fourth Proportional to 208,663.20, 312,649.20 and 177,559.20

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Solution

The fourth proportional to 208,663.20, 312,649.20 and 177,559.20 is: 266,044.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,663.20 : 312,649.20 = 177,559.20 : x
  2. Step 2: Convert to fraction form
    208,663.20/312,649.20 = 177,559.20/x
  3. Step 3: Cross multiply
    208,663.20x = 312,649.20 × 177,559.20
  4. Step 4: Simplify right side
    208,663.20x = 55,513,741,832.64
  5. Step 5: Solve for x
    x = 55,513,741,832.64/208,663.20
  6. Step 6: Final answer
    x = 266,044.72

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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.