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Finding the Fourth Proportional to 647,412.45, 971,398.53 and 347,542.85

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Solution

The fourth proportional to 647,412.45, 971,398.53 and 347,542.85 is: 521,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,412.45 : 971,398.53 = 347,542.85 : x
  2. Step 2: Convert to fraction form
    647,412.45/971,398.53 = 347,542.85/x
  3. Step 3: Cross multiply
    647,412.45x = 971,398.53 × 347,542.85
  4. Step 4: Simplify right side
    647,412.45x = 337,602,608,745.02
  5. Step 5: Solve for x
    x = 337,602,608,745.02/647,412.45
  6. Step 6: Final answer
    x = 521,464.50

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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.