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Finding the Fourth Proportional to 498,443,663.88, 687,837,778.02 and 275,421,801.96

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Solution

The fourth proportional to 498,443,663.88, 687,837,778.02 and 275,421,801.96 is: 380,074,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,443,663.88 : 687,837,778.02 = 275,421,801.96 : x
  2. Step 2: Convert to fraction form
    498,443,663.88/687,837,778.02 = 275,421,801.96/x
  3. Step 3: Cross multiply
    498,443,663.88x = 687,837,778.02 × 275,421,801.96
  4. Step 4: Simplify right side
    498,443,663.88x = 189,445,520,278,430,848
  5. Step 5: Solve for x
    x = 189,445,520,278,430,848/498,443,663.88
  6. Step 6: Final answer
    x = 380,074,086.62

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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.