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Finding the Fourth Proportional to 198,273.16, 297,410.16 and 139,372.40

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Solution

The fourth proportional to 198,273.16, 297,410.16 and 139,372.40 is: 209,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,273.16 : 297,410.16 = 139,372.40 : x
  2. Step 2: Convert to fraction form
    198,273.16/297,410.16 = 139,372.40/x
  3. Step 3: Cross multiply
    198,273.16x = 297,410.16 × 139,372.40
  4. Step 4: Simplify right side
    198,273.16x = 41,450,767,783.58
  5. Step 5: Solve for x
    x = 41,450,767,783.58/198,273.16
  6. Step 6: Final answer
    x = 209,058.90

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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.