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Finding the Fourth Proportional to 277,059.96, 415,487.88 and 99,519.30

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Solution

The fourth proportional to 277,059.96, 415,487.88 and 99,519.30 is: 149,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,059.96 : 415,487.88 = 99,519.30 : x
  2. Step 2: Convert to fraction form
    277,059.96/415,487.88 = 99,519.30/x
  3. Step 3: Cross multiply
    277,059.96x = 415,487.88 × 99,519.30
  4. Step 4: Simplify right side
    277,059.96x = 41,349,062,976.08
  5. Step 5: Solve for x
    x = 41,349,062,976.08/277,059.96
  6. Step 6: Final answer
    x = 149,242.29

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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.