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Finding the Fourth Proportional to 647,143.67, 970,715.51 and 197,864.55

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Solution

The fourth proportional to 647,143.67, 970,715.51 and 197,864.55 is: 296,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,143.67 : 970,715.51 = 197,864.55 : x
  2. Step 2: Convert to fraction form
    647,143.67/970,715.51 = 197,864.55/x
  3. Step 3: Cross multiply
    647,143.67x = 970,715.51 × 197,864.55
  4. Step 4: Simplify right side
    647,143.67x = 192,070,187,564.17
  5. Step 5: Solve for x
    x = 192,070,187,564.17/647,143.67
  6. Step 6: Final answer
    x = 296,796.83

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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.