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Finding the Fourth Proportional to 647,896.80, 971,845.20 and 482,008.80

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Solution

The fourth proportional to 647,896.80, 971,845.20 and 482,008.80 is: 723,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,896.80 : 971,845.20 = 482,008.80 : x
  2. Step 2: Convert to fraction form
    647,896.80/971,845.20 = 482,008.80/x
  3. Step 3: Cross multiply
    647,896.80x = 971,845.20 × 482,008.80
  4. Step 4: Simplify right side
    647,896.80x = 468,437,938,637.76
  5. Step 5: Solve for x
    x = 468,437,938,637.76/647,896.80
  6. Step 6: Final answer
    x = 723,013.20

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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.