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Finding the Fourth Proportional to 251,138.40, 377,582.40 and 212,647.20

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Solution

The fourth proportional to 251,138.40, 377,582.40 and 212,647.20 is: 319,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,138.40 : 377,582.40 = 212,647.20 : x
  2. Step 2: Convert to fraction form
    251,138.40/377,582.40 = 212,647.20/x
  3. Step 3: Cross multiply
    251,138.40x = 377,582.40 × 212,647.20
  4. Step 4: Simplify right side
    251,138.40x = 80,291,840,129.28
  5. Step 5: Solve for x
    x = 80,291,840,129.28/251,138.40
  6. Step 6: Final answer
    x = 319,711.52

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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.