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Finding the Fourth Proportional to 647,078.40, 970,532.55 and 197,844.30

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Solution

The fourth proportional to 647,078.40, 970,532.55 and 197,844.30 is: 296,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,078.40 : 970,532.55 = 197,844.30 : x
  2. Step 2: Convert to fraction form
    647,078.40/970,532.55 = 197,844.30/x
  3. Step 3: Cross multiply
    647,078.40x = 970,532.55 × 197,844.30
  4. Step 4: Simplify right side
    647,078.40x = 192,014,332,981.97
  5. Step 5: Solve for x
    x = 192,014,332,981.97/647,078.40
  6. Step 6: Final answer
    x = 296,740.45

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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.