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Finding the Fourth Proportional to 522,358.40, 720,957.97 and 338,824.42

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Solution

The fourth proportional to 522,358.40, 720,957.97 and 338,824.42 is: 467,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,358.40 : 720,957.97 = 338,824.42 : x
  2. Step 2: Convert to fraction form
    522,358.40/720,957.97 = 338,824.42/x
  3. Step 3: Cross multiply
    522,358.40x = 720,957.97 × 338,824.42
  4. Step 4: Simplify right side
    522,358.40x = 244,278,167,777.89
  5. Step 5: Solve for x
    x = 244,278,167,777.89/522,358.40
  6. Step 6: Final answer
    x = 467,644.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.