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Finding the Fourth Proportional to 277,380.95, 415,821.72 and 99,763.13

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Solution

The fourth proportional to 277,380.95, 415,821.72 and 99,763.13 is: 149,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,380.95 : 415,821.72 = 99,763.13 : x
  2. Step 2: Convert to fraction form
    277,380.95/415,821.72 = 99,763.13/x
  3. Step 3: Cross multiply
    277,380.95x = 415,821.72 × 99,763.13
  4. Step 4: Simplify right side
    277,380.95x = 41,483,674,230.08
  5. Step 5: Solve for x
    x = 41,483,674,230.08/277,380.95
  6. Step 6: Final answer
    x = 149,554.88

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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.