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Finding the Fourth Proportional to 299,466.40, 413,343.12 and 172,156

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Solution

The fourth proportional to 299,466.40, 413,343.12 and 172,156 is: 237,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,466.40 : 413,343.12 = 172,156 : x
  2. Step 2: Convert to fraction form
    299,466.40/413,343.12 = 172,156/x
  3. Step 3: Cross multiply
    299,466.40x = 413,343.12 × 172,156
  4. Step 4: Simplify right side
    299,466.40x = 71,159,498,166.72
  5. Step 5: Solve for x
    x = 71,159,498,166.72/299,466.40
  6. Step 6: Final answer
    x = 237,620.98

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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.