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Finding the Fourth Proportional to 647,967.60, 971,163.41 and 458,482.57

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Solution

The fourth proportional to 647,967.60, 971,163.41 and 458,482.57 is: 687,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,967.60 : 971,163.41 = 458,482.57 : x
  2. Step 2: Convert to fraction form
    647,967.60/971,163.41 = 458,482.57/x
  3. Step 3: Cross multiply
    647,967.60x = 971,163.41 × 458,482.57
  4. Step 4: Simplify right side
    647,967.60x = 445,261,491,386.44
  5. Step 5: Solve for x
    x = 445,261,491,386.44/647,967.60
  6. Step 6: Final answer
    x = 687,166.29

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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.