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Finding the Fourth Proportional to 318,079.82, 438,942.72 and 172,882.16

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Solution

The fourth proportional to 318,079.82, 438,942.72 and 172,882.16 is: 238,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,079.82 : 438,942.72 = 172,882.16 : x
  2. Step 2: Convert to fraction form
    318,079.82/438,942.72 = 172,882.16/x
  3. Step 3: Cross multiply
    318,079.82x = 438,942.72 × 172,882.16
  4. Step 4: Simplify right side
    318,079.82x = 75,885,365,549.88
  5. Step 5: Solve for x
    x = 75,885,365,549.88/318,079.82
  6. Step 6: Final answer
    x = 238,573.34

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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.