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Finding the Fourth Proportional to 647,571.80, 971,357.70 and 505,854.20

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Solution

The fourth proportional to 647,571.80, 971,357.70 and 505,854.20 is: 758,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,571.80 : 971,357.70 = 505,854.20 : x
  2. Step 2: Convert to fraction form
    647,571.80/971,357.70 = 505,854.20/x
  3. Step 3: Cross multiply
    647,571.80x = 971,357.70 × 505,854.20
  4. Step 4: Simplify right side
    647,571.80x = 491,365,372,247.34
  5. Step 5: Solve for x
    x = 491,365,372,247.34/647,571.80
  6. Step 6: Final answer
    x = 758,781.30

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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.