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Finding the Fourth Proportional to 251,146.40, 377,594.40 and 212,655.20

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Solution

The fourth proportional to 251,146.40, 377,594.40 and 212,655.20 is: 319,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,146.40 : 377,594.40 = 212,655.20 : x
  2. Step 2: Convert to fraction form
    251,146.40/377,594.40 = 212,655.20/x
  3. Step 3: Cross multiply
    251,146.40x = 377,594.40 × 212,655.20
  4. Step 4: Simplify right side
    251,146.40x = 80,297,412,650.88
  5. Step 5: Solve for x
    x = 80,297,412,650.88/251,146.40
  6. Step 6: Final answer
    x = 319,723.53

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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.