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Finding the Fourth Proportional to 277,676.51, 416,530.90 and 78,012.46

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Solution

The fourth proportional to 277,676.51, 416,530.90 and 78,012.46 is: 117,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,676.51 : 416,530.90 = 78,012.46 : x
  2. Step 2: Convert to fraction form
    277,676.51/416,530.90 = 78,012.46/x
  3. Step 3: Cross multiply
    277,676.51x = 416,530.90 × 78,012.46
  4. Step 4: Simplify right side
    277,676.51x = 32,494,600,175.01
  5. Step 5: Solve for x
    x = 32,494,600,175.01/277,676.51
  6. Step 6: Final answer
    x = 117,023.22

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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.