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Finding the Fourth Proportional to 398,933.80, 598,400.70 and 162,446.20

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Solution

The fourth proportional to 398,933.80, 598,400.70 and 162,446.20 is: 243,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,933.80 : 598,400.70 = 162,446.20 : x
  2. Step 2: Convert to fraction form
    398,933.80/598,400.70 = 162,446.20/x
  3. Step 3: Cross multiply
    398,933.80x = 598,400.70 × 162,446.20
  4. Step 4: Simplify right side
    398,933.80x = 97,207,919,792.34
  5. Step 5: Solve for x
    x = 97,207,919,792.34/398,933.80
  6. Step 6: Final answer
    x = 243,669.30

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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.