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Finding the Fourth Proportional to 398,900.60, 598,463.46 and 162,413

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Solution

The fourth proportional to 398,900.60, 598,463.46 and 162,413 is: 243,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,900.60 : 598,463.46 = 162,413 : x
  2. Step 2: Convert to fraction form
    398,900.60/598,463.46 = 162,413/x
  3. Step 3: Cross multiply
    398,900.60x = 598,463.46 × 162,413
  4. Step 4: Simplify right side
    398,900.60x = 97,198,245,928.98
  5. Step 5: Solve for x
    x = 97,198,245,928.98/398,900.60
  6. Step 6: Final answer
    x = 243,665.33

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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.