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Finding the Fourth Proportional to 512,586.19, 768,591.33 and 212,865.13

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Solution

The fourth proportional to 512,586.19, 768,591.33 and 212,865.13 is: 319,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,586.19 : 768,591.33 = 212,865.13 : x
  2. Step 2: Convert to fraction form
    512,586.19/768,591.33 = 212,865.13/x
  3. Step 3: Cross multiply
    512,586.19x = 768,591.33 × 212,865.13
  4. Step 4: Simplify right side
    512,586.19x = 163,606,293,377.32
  5. Step 5: Solve for x
    x = 163,606,293,377.32/512,586.19
  6. Step 6: Final answer
    x = 319,178.11

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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.