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Finding the Fourth Proportional to 275,406.72, 413,153.28 and 117,636

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Solution

The fourth proportional to 275,406.72, 413,153.28 and 117,636 is: 176,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,406.72 : 413,153.28 = 117,636 : x
  2. Step 2: Convert to fraction form
    275,406.72/413,153.28 = 117,636/x
  3. Step 3: Cross multiply
    275,406.72x = 413,153.28 × 117,636
  4. Step 4: Simplify right side
    275,406.72x = 48,601,699,246.08
  5. Step 5: Solve for x
    x = 48,601,699,246.08/275,406.72
  6. Step 6: Final answer
    x = 176,472.45

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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.