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Finding the Fourth Proportional to 354,719.14, 489,573.21 and 338,775.46

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Solution

The fourth proportional to 354,719.14, 489,573.21 and 338,775.46 is: 467,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,719.14 : 489,573.21 = 338,775.46 : x
  2. Step 2: Convert to fraction form
    354,719.14/489,573.21 = 338,775.46/x
  3. Step 3: Cross multiply
    354,719.14x = 489,573.21 × 338,775.46
  4. Step 4: Simplify right side
    354,719.14x = 165,855,389,421.43
  5. Step 5: Solve for x
    x = 165,855,389,421.43/354,719.14
  6. Step 6: Final answer
    x = 467,568.20

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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.