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Finding the Fourth Proportional to 478,044.89, 659,676.90 and 263,142.98

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Solution

The fourth proportional to 478,044.89, 659,676.90 and 263,142.98 is: 363,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,044.89 : 659,676.90 = 263,142.98 : x
  2. Step 2: Convert to fraction form
    478,044.89/659,676.90 = 263,142.98/x
  3. Step 3: Cross multiply
    478,044.89x = 659,676.90 × 263,142.98
  4. Step 4: Simplify right side
    478,044.89x = 173,589,343,653.97
  5. Step 5: Solve for x
    x = 173,589,343,653.97/478,044.89
  6. Step 6: Final answer
    x = 363,123.52

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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.