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Finding the Fourth Proportional to 512,237.40, 768,356.10 and 276,041.40

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Solution

The fourth proportional to 512,237.40, 768,356.10 and 276,041.40 is: 414,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,237.40 : 768,356.10 = 276,041.40 : x
  2. Step 2: Convert to fraction form
    512,237.40/768,356.10 = 276,041.40/x
  3. Step 3: Cross multiply
    512,237.40x = 768,356.10 × 276,041.40
  4. Step 4: Simplify right side
    512,237.40x = 212,098,093,542.54
  5. Step 5: Solve for x
    x = 212,098,093,542.54/512,237.40
  6. Step 6: Final answer
    x = 414,062.10

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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.