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Finding the Fourth Proportional to 647,319.20, 971,416.20 and 363,009.20

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Solution

The fourth proportional to 647,319.20, 971,416.20 and 363,009.20 is: 544,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,319.20 : 971,416.20 = 363,009.20 : x
  2. Step 2: Convert to fraction form
    647,319.20/971,416.20 = 363,009.20/x
  3. Step 3: Cross multiply
    647,319.20x = 971,416.20 × 363,009.20
  4. Step 4: Simplify right side
    647,319.20x = 352,633,017,629.04
  5. Step 5: Solve for x
    x = 352,633,017,629.04/647,319.20
  6. Step 6: Final answer
    x = 544,759.09

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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.