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Finding the Fourth Proportional to 398,521.25, 597,116.21 and 279,980.38

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Solution

The fourth proportional to 398,521.25, 597,116.21 and 279,980.38 is: 419,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,521.25 : 597,116.21 = 279,980.38 : x
  2. Step 2: Convert to fraction form
    398,521.25/597,116.21 = 279,980.38/x
  3. Step 3: Cross multiply
    398,521.25x = 597,116.21 × 279,980.38
  4. Step 4: Simplify right side
    398,521.25x = 167,180,822,726.45
  5. Step 5: Solve for x
    x = 167,180,822,726.45/398,521.25
  6. Step 6: Final answer
    x = 419,502.91

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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.