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Finding the Fourth Proportional to 647,150.40, 970,552.80 and 197,870.40

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Solution

The fourth proportional to 647,150.40, 970,552.80 and 197,870.40 is: 296,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,150.40 : 970,552.80 = 197,870.40 : x
  2. Step 2: Convert to fraction form
    647,150.40/970,552.80 = 197,870.40/x
  3. Step 3: Cross multiply
    647,150.40x = 970,552.80 × 197,870.40
  4. Step 4: Simplify right side
    647,150.40x = 192,043,670,757.12
  5. Step 5: Solve for x
    x = 192,043,670,757.12/647,150.40
  6. Step 6: Final answer
    x = 296,752.77

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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.