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Finding the Fourth Proportional to 512,359.78, 768,014.70 and 213,014.20

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Solution

The fourth proportional to 512,359.78, 768,014.70 and 213,014.20 is: 319,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,359.78 : 768,014.70 = 213,014.20 : x
  2. Step 2: Convert to fraction form
    512,359.78/768,014.70 = 213,014.20/x
  3. Step 3: Cross multiply
    512,359.78x = 768,014.70 × 213,014.20
  4. Step 4: Simplify right side
    512,359.78x = 163,598,036,908.74
  5. Step 5: Solve for x
    x = 163,598,036,908.74/512,359.78
  6. Step 6: Final answer
    x = 319,303.04

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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.