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Finding the Fourth Proportional to 398,411.90, 597,958.05 and 161,924.30

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Solution

The fourth proportional to 398,411.90, 597,958.05 and 161,924.30 is: 243,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,411.90 : 597,958.05 = 161,924.30 : x
  2. Step 2: Convert to fraction form
    398,411.90/597,958.05 = 161,924.30/x
  3. Step 3: Cross multiply
    398,411.90x = 597,958.05 × 161,924.30
  4. Step 4: Simplify right side
    398,411.90x = 96,823,938,675.62
  5. Step 5: Solve for x
    x = 96,823,938,675.62/398,411.90
  6. Step 6: Final answer
    x = 243,024.72

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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.