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Finding the Fourth Proportional to 647,713.70, 971,570.55 and 512,411.30

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Solution

The fourth proportional to 647,713.70, 971,570.55 and 512,411.30 is: 768,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,713.70 : 971,570.55 = 512,411.30 : x
  2. Step 2: Convert to fraction form
    647,713.70/971,570.55 = 512,411.30/x
  3. Step 3: Cross multiply
    647,713.70x = 971,570.55 × 512,411.30
  4. Step 4: Simplify right side
    647,713.70x = 497,843,728,567.22
  5. Step 5: Solve for x
    x = 497,843,728,567.22/647,713.70
  6. Step 6: Final answer
    x = 768,616.95

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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.