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Finding the Fourth Proportional to 647,305.20, 971,395.20 and 362,995.20

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Solution

The fourth proportional to 647,305.20, 971,395.20 and 362,995.20 is: 544,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,305.20 : 971,395.20 = 362,995.20 : x
  2. Step 2: Convert to fraction form
    647,305.20/971,395.20 = 362,995.20/x
  3. Step 3: Cross multiply
    647,305.20x = 971,395.20 × 362,995.20
  4. Step 4: Simplify right side
    647,305.20x = 352,611,794,903.04
  5. Step 5: Solve for x
    x = 352,611,794,903.04/647,305.20
  6. Step 6: Final answer
    x = 544,738.08

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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.