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Finding the Fourth Proportional to 286,409.70, 395,156.43 and 165,506.94

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Solution

The fourth proportional to 286,409.70, 395,156.43 and 165,506.94 is: 228,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,409.70 : 395,156.43 = 165,506.94 : x
  2. Step 2: Convert to fraction form
    286,409.70/395,156.43 = 165,506.94/x
  3. Step 3: Cross multiply
    286,409.70x = 395,156.43 × 165,506.94
  4. Step 4: Simplify right side
    286,409.70x = 65,401,131,550.62
  5. Step 5: Solve for x
    x = 65,401,131,550.62/286,409.70
  6. Step 6: Final answer
    x = 228,348.17

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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.