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Finding the Fourth Proportional to 398,415.40, 597,963.30 and 161,927.80

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Solution

The fourth proportional to 398,415.40, 597,963.30 and 161,927.80 is: 243,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,415.40 : 597,963.30 = 161,927.80 : x
  2. Step 2: Convert to fraction form
    398,415.40/597,963.30 = 161,927.80/x
  3. Step 3: Cross multiply
    398,415.40x = 597,963.30 × 161,927.80
  4. Step 4: Simplify right side
    398,415.40x = 96,826,881,649.74
  5. Step 5: Solve for x
    x = 96,826,881,649.74/398,415.40
  6. Step 6: Final answer
    x = 243,029.97

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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.