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Finding the Fourth Proportional to 331,158, 457,000.20 and 180,256.08

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Solution

The fourth proportional to 331,158, 457,000.20 and 180,256.08 is: 248,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,158 : 457,000.20 = 180,256.08 : x
  2. Step 2: Convert to fraction form
    331,158/457,000.20 = 180,256.08/x
  3. Step 3: Cross multiply
    331,158x = 457,000.20 × 180,256.08
  4. Step 4: Simplify right side
    331,158x = 82,377,064,611.22
  5. Step 5: Solve for x
    x = 82,377,064,611.22/331,158
  6. Step 6: Final answer
    x = 248,754.57

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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.