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Finding the Fourth Proportional to 356,575.79, 491,195.70 and 305,421.86

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Solution

The fourth proportional to 356,575.79, 491,195.70 and 305,421.86 is: 420,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,575.79 : 491,195.70 = 305,421.86 : x
  2. Step 2: Convert to fraction form
    356,575.79/491,195.70 = 305,421.86/x
  3. Step 3: Cross multiply
    356,575.79x = 491,195.70 × 305,421.86
  4. Step 4: Simplify right side
    356,575.79x = 150,021,905,545.99
  5. Step 5: Solve for x
    x = 150,021,905,545.99/356,575.79
  6. Step 6: Final answer
    x = 420,729.36

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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.