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Finding the Fourth Proportional to 647,546.78, 971,314.10 and 363,236.78

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Solution

The fourth proportional to 647,546.78, 971,314.10 and 363,236.78 is: 544,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,546.78 : 971,314.10 = 363,236.78 : x
  2. Step 2: Convert to fraction form
    647,546.78/971,314.10 = 363,236.78/x
  3. Step 3: Cross multiply
    647,546.78x = 971,314.10 × 363,236.78
  4. Step 4: Simplify right side
    647,546.78x = 352,817,006,052.60
  5. Step 5: Solve for x
    x = 352,817,006,052.60/647,546.78
  6. Step 6: Final answer
    x = 544,851.77

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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.