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Finding the Fourth Proportional to 407,208.43, 561,974.21 and 235,133.65

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Solution

The fourth proportional to 407,208.43, 561,974.21 and 235,133.65 is: 324,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,208.43 : 561,974.21 = 235,133.65 : x
  2. Step 2: Convert to fraction form
    407,208.43/561,974.21 = 235,133.65/x
  3. Step 3: Cross multiply
    407,208.43x = 561,974.21 × 235,133.65
  4. Step 4: Simplify right side
    407,208.43x = 132,139,047,203.17
  5. Step 5: Solve for x
    x = 132,139,047,203.17/407,208.43
  6. Step 6: Final answer
    x = 324,499.78

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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.