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Finding the Fourth Proportional to 288,363, 397,911.78 and 165,852.12

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Solution

The fourth proportional to 288,363, 397,911.78 and 165,852.12 is: 228,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,363 : 397,911.78 = 165,852.12 : x
  2. Step 2: Convert to fraction form
    288,363/397,911.78 = 165,852.12/x
  3. Step 3: Cross multiply
    288,363x = 397,911.78 × 165,852.12
  4. Step 4: Simplify right side
    288,363x = 65,994,512,285.97
  5. Step 5: Solve for x
    x = 65,994,512,285.97/288,363
  6. Step 6: Final answer
    x = 228,859.15

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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.