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Finding the Fourth Proportional to 647,195.54, 971,294.57 and 521,144.45

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Solution

The fourth proportional to 647,195.54, 971,294.57 and 521,144.45 is: 782,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,195.54 : 971,294.57 = 521,144.45 : x
  2. Step 2: Convert to fraction form
    647,195.54/971,294.57 = 521,144.45/x
  3. Step 3: Cross multiply
    647,195.54x = 971,294.57 × 521,144.45
  4. Step 4: Simplify right side
    647,195.54x = 506,184,767,008.44
  5. Step 5: Solve for x
    x = 506,184,767,008.44/647,195.54
  6. Step 6: Final answer
    x = 782,120.30

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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.