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Finding the Fourth Proportional to 497,840.80, 746,761.20 and 446,519.20

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Solution

The fourth proportional to 497,840.80, 746,761.20 and 446,519.20 is: 669,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,840.80 : 746,761.20 = 446,519.20 : x
  2. Step 2: Convert to fraction form
    497,840.80/746,761.20 = 446,519.20/x
  3. Step 3: Cross multiply
    497,840.80x = 746,761.20 × 446,519.20
  4. Step 4: Simplify right side
    497,840.80x = 333,443,213,615.04
  5. Step 5: Solve for x
    x = 333,443,213,615.04/497,840.80
  6. Step 6: Final answer
    x = 669,778.80

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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.