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Finding the Fourth Proportional to 393,139.71, 589,278.06 and 224,291.82

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Solution

The fourth proportional to 393,139.71, 589,278.06 and 224,291.82 is: 336,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,139.71 : 589,278.06 = 224,291.82 : x
  2. Step 2: Convert to fraction form
    393,139.71/589,278.06 = 224,291.82/x
  3. Step 3: Cross multiply
    393,139.71x = 589,278.06 × 224,291.82
  4. Step 4: Simplify right side
    393,139.71x = 132,170,245,617.08
  5. Step 5: Solve for x
    x = 132,170,245,617.08/393,139.71
  6. Step 6: Final answer
    x = 336,191.54

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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.