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Finding the Fourth Proportional to 647,883.90, 972,012.56 and 198,671.00

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Solution

The fourth proportional to 647,883.90, 972,012.56 and 198,671.00 is: 298,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,883.90 : 972,012.56 = 198,671.00 : x
  2. Step 2: Convert to fraction form
    647,883.90/972,012.56 = 198,671.00/x
  3. Step 3: Cross multiply
    647,883.90x = 972,012.56 × 198,671.00
  4. Step 4: Simplify right side
    647,883.90x = 193,110,701,454.34
  5. Step 5: Solve for x
    x = 193,110,701,454.34/647,883.90
  6. Step 6: Final answer
    x = 298,063.74

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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.