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Finding the Fourth Proportional to 656,138.40, 982,825.20 and 531,722.40

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Solution

The fourth proportional to 656,138.40, 982,825.20 and 531,722.40 is: 796,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,138.40 : 982,825.20 = 531,722.40 : x
  2. Step 2: Convert to fraction form
    656,138.40/982,825.20 = 531,722.40/x
  3. Step 3: Cross multiply
    656,138.40x = 982,825.20 × 531,722.40
  4. Step 4: Simplify right side
    656,138.40x = 522,590,174,124.48
  5. Step 5: Solve for x
    x = 522,590,174,124.48/656,138.40
  6. Step 6: Final answer
    x = 796,463.33

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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.