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Finding the Fourth Proportional to 647,452.61, 971,458.67 and 347,583.02

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Solution

The fourth proportional to 647,452.61, 971,458.67 and 347,583.02 is: 521,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,452.61 : 971,458.67 = 347,583.02 : x
  2. Step 2: Convert to fraction form
    647,452.61/971,458.67 = 347,583.02/x
  3. Step 3: Cross multiply
    647,452.61x = 971,458.67 × 347,583.02
  4. Step 4: Simplify right side
    647,452.61x = 337,662,531,728.58
  5. Step 5: Solve for x
    x = 337,662,531,728.58/647,452.61
  6. Step 6: Final answer
    x = 521,524.71

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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.