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Finding the Fourth Proportional to 647,093.20, 971,215.80 and 380,520.40

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Solution

The fourth proportional to 647,093.20, 971,215.80 and 380,520.40 is: 571,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,093.20 : 971,215.80 = 380,520.40 : x
  2. Step 2: Convert to fraction form
    647,093.20/971,215.80 = 380,520.40/x
  3. Step 3: Cross multiply
    647,093.20x = 971,215.80 × 380,520.40
  4. Step 4: Simplify right side
    647,093.20x = 369,567,424,702.32
  5. Step 5: Solve for x
    x = 369,567,424,702.32/647,093.20
  6. Step 6: Final answer
    x = 571,119.31

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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.