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Finding the Fourth Proportional to 272,878.76, 408,709.20 and 209,230.36

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Solution

The fourth proportional to 272,878.76, 408,709.20 and 209,230.36 is: 313,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,878.76 : 408,709.20 = 209,230.36 : x
  2. Step 2: Convert to fraction form
    272,878.76/408,709.20 = 209,230.36/x
  3. Step 3: Cross multiply
    272,878.76x = 408,709.20 × 209,230.36
  4. Step 4: Simplify right side
    272,878.76x = 85,514,373,051.31
  5. Step 5: Solve for x
    x = 85,514,373,051.31/272,878.76
  6. Step 6: Final answer
    x = 313,378.63

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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.