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Finding the Fourth Proportional to 490,421.68, 735,241.50 and 451,057.84

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Solution

The fourth proportional to 490,421.68, 735,241.50 and 451,057.84 is: 676,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,421.68 : 735,241.50 = 451,057.84 : x
  2. Step 2: Convert to fraction form
    490,421.68/735,241.50 = 451,057.84/x
  3. Step 3: Cross multiply
    490,421.68x = 735,241.50 × 451,057.84
  4. Step 4: Simplify right side
    490,421.68x = 331,636,442,868.36
  5. Step 5: Solve for x
    x = 331,636,442,868.36/490,421.68
  6. Step 6: Final answer
    x = 676,227.13

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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.