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Finding the Fourth Proportional to 288,228.92, 432,999.48 and 208,512.77

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Solution

The fourth proportional to 288,228.92, 432,999.48 and 208,512.77 is: 313,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,228.92 : 432,999.48 = 208,512.77 : x
  2. Step 2: Convert to fraction form
    288,228.92/432,999.48 = 208,512.77/x
  3. Step 3: Cross multiply
    288,228.92x = 432,999.48 × 208,512.77
  4. Step 4: Simplify right side
    288,228.92x = 90,285,917,775.80
  5. Step 5: Solve for x
    x = 90,285,917,775.80/288,228.92
  6. Step 6: Final answer
    x = 313,243.79

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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.