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Finding the Fourth Proportional to 647,145.05, 970,717.53 and 197,865.92

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Solution

The fourth proportional to 647,145.05, 970,717.53 and 197,865.92 is: 296,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,145.05 : 970,717.53 = 197,865.92 : x
  2. Step 2: Convert to fraction form
    647,145.05/970,717.53 = 197,865.92/x
  3. Step 3: Cross multiply
    647,145.05x = 970,717.53 × 197,865.92
  4. Step 4: Simplify right side
    647,145.05x = 192,071,920,302.37
  5. Step 5: Solve for x
    x = 192,071,920,302.37/647,145.05
  6. Step 6: Final answer
    x = 296,798.87

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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.