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Finding the Fourth Proportional to 647,425.70, 971,138.55 and 362,824.10

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Solution

The fourth proportional to 647,425.70, 971,138.55 and 362,824.10 is: 544,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,425.70 : 971,138.55 = 362,824.10 : x
  2. Step 2: Convert to fraction form
    647,425.70/971,138.55 = 362,824.10/x
  3. Step 3: Cross multiply
    647,425.70x = 971,138.55 × 362,824.10
  4. Step 4: Simplify right side
    647,425.70x = 352,352,470,379.06
  5. Step 5: Solve for x
    x = 352,352,470,379.06/647,425.70
  6. Step 6: Final answer
    x = 544,236.15

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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.