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Finding the Fourth Proportional to 398,057.65, 597,128.39 and 229,574.21

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Solution

The fourth proportional to 398,057.65, 597,128.39 and 229,574.21 is: 344,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,057.65 : 597,128.39 = 229,574.21 : x
  2. Step 2: Convert to fraction form
    398,057.65/597,128.39 = 229,574.21/x
  3. Step 3: Cross multiply
    398,057.65x = 597,128.39 × 229,574.21
  4. Step 4: Simplify right side
    398,057.65x = 137,085,278,402.82
  5. Step 5: Solve for x
    x = 137,085,278,402.82/398,057.65
  6. Step 6: Final answer
    x = 344,385.49

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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.