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Finding the Fourth Proportional to 647,138.40, 970,534.80 and 197,858.40

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Solution

The fourth proportional to 647,138.40, 970,534.80 and 197,858.40 is: 296,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,138.40 : 970,534.80 = 197,858.40 : x
  2. Step 2: Convert to fraction form
    647,138.40/970,534.80 = 197,858.40/x
  3. Step 3: Cross multiply
    647,138.40x = 970,534.80 × 197,858.40
  4. Step 4: Simplify right side
    647,138.40x = 192,028,462,672.32
  5. Step 5: Solve for x
    x = 192,028,462,672.32/647,138.40
  6. Step 6: Final answer
    x = 296,734.77

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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.