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Finding the Fourth Proportional to 647,352.90, 971,537.85 and 449,068.62

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Solution

The fourth proportional to 647,352.90, 971,537.85 and 449,068.62 is: 673,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,352.90 : 971,537.85 = 449,068.62 : x
  2. Step 2: Convert to fraction form
    647,352.90/971,537.85 = 449,068.62/x
  3. Step 3: Cross multiply
    647,352.90x = 971,537.85 × 449,068.62
  4. Step 4: Simplify right side
    647,352.90x = 436,287,161,577.27
  5. Step 5: Solve for x
    x = 436,287,161,577.27/647,352.90
  6. Step 6: Final answer
    x = 673,955.68

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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.