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Finding the Fourth Proportional to 512,116.10, 767,846.10 and 212,715.80

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Solution

The fourth proportional to 512,116.10, 767,846.10 and 212,715.80 is: 318,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,116.10 : 767,846.10 = 212,715.80 : x
  2. Step 2: Convert to fraction form
    512,116.10/767,846.10 = 212,715.80/x
  3. Step 3: Cross multiply
    512,116.10x = 767,846.10 × 212,715.80
  4. Step 4: Simplify right side
    512,116.10x = 163,332,997,438.38
  5. Step 5: Solve for x
    x = 163,332,997,438.38/512,116.10
  6. Step 6: Final answer
    x = 318,937.44

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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.