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Finding the Fourth Proportional to 490,296.96, 676,627.16 and 272,509.98

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Solution

The fourth proportional to 490,296.96, 676,627.16 and 272,509.98 is: 376,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,296.96 : 676,627.16 = 272,509.98 : x
  2. Step 2: Convert to fraction form
    490,296.96/676,627.16 = 272,509.98/x
  3. Step 3: Cross multiply
    490,296.96x = 676,627.16 × 272,509.98
  4. Step 4: Simplify right side
    490,296.96x = 184,387,653,157.78
  5. Step 5: Solve for x
    x = 184,387,653,157.78/490,296.96
  6. Step 6: Final answer
    x = 376,073.42

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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.