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Finding the Fourth Proportional to 490,978.48, 677,543.88 and 276,118.48

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Solution

The fourth proportional to 490,978.48, 677,543.88 and 276,118.48 is: 381,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,978.48 : 677,543.88 = 276,118.48 : x
  2. Step 2: Convert to fraction form
    490,978.48/677,543.88 = 276,118.48/x
  3. Step 3: Cross multiply
    490,978.48x = 677,543.88 × 276,118.48
  4. Step 4: Simplify right side
    490,978.48x = 187,082,386,278.90
  5. Step 5: Solve for x
    x = 187,082,386,278.90/490,978.48
  6. Step 6: Final answer
    x = 381,039.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.