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Finding the Fourth Proportional to 512,133.70, 767,766.74 and 212,427.22

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Solution

The fourth proportional to 512,133.70, 767,766.74 and 212,427.22 is: 318,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,133.70 : 767,766.74 = 212,427.22 : x
  2. Step 2: Convert to fraction form
    512,133.70/767,766.74 = 212,427.22/x
  3. Step 3: Cross multiply
    512,133.70x = 767,766.74 × 212,427.22
  4. Step 4: Simplify right side
    512,133.70x = 163,094,553,124.53
  5. Step 5: Solve for x
    x = 163,094,553,124.53/512,133.70
  6. Step 6: Final answer
    x = 318,460.89

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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.