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Finding the Fourth Proportional to 647,472.80, 971,209.20 and 584,487.20

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Solution

The fourth proportional to 647,472.80, 971,209.20 and 584,487.20 is: 876,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,472.80 : 971,209.20 = 584,487.20 : x
  2. Step 2: Convert to fraction form
    647,472.80/971,209.20 = 584,487.20/x
  3. Step 3: Cross multiply
    647,472.80x = 971,209.20 × 584,487.20
  4. Step 4: Simplify right side
    647,472.80x = 567,659,345,922.24
  5. Step 5: Solve for x
    x = 567,659,345,922.24/647,472.80
  6. Step 6: Final answer
    x = 876,730.80

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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.