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Finding the Fourth Proportional to 647,577.80, 970,977.90 and 332,649.80

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Solution

The fourth proportional to 647,577.80, 970,977.90 and 332,649.80 is: 498,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,577.80 : 970,977.90 = 332,649.80 : x
  2. Step 2: Convert to fraction form
    647,577.80/970,977.90 = 332,649.80/x
  3. Step 3: Cross multiply
    647,577.80x = 970,977.90 × 332,649.80
  4. Step 4: Simplify right side
    647,577.80x = 322,995,604,239.42
  5. Step 5: Solve for x
    x = 322,995,604,239.42/647,577.80
  6. Step 6: Final answer
    x = 498,774.98

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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.