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Finding the Fourth Proportional to 647,144.40, 970,543.80 and 197,864.40

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Solution

The fourth proportional to 647,144.40, 970,543.80 and 197,864.40 is: 296,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,144.40 : 970,543.80 = 197,864.40 : x
  2. Step 2: Convert to fraction form
    647,144.40/970,543.80 = 197,864.40/x
  3. Step 3: Cross multiply
    647,144.40x = 970,543.80 × 197,864.40
  4. Step 4: Simplify right side
    647,144.40x = 192,036,066,660.72
  5. Step 5: Solve for x
    x = 192,036,066,660.72/647,144.40
  6. Step 6: Final answer
    x = 296,743.77

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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.