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Finding the Fourth Proportional to 198,430.56, 297,688.92 and 65,324.28

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Solution

The fourth proportional to 198,430.56, 297,688.92 and 65,324.28 is: 98,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,430.56 : 297,688.92 = 65,324.28 : x
  2. Step 2: Convert to fraction form
    198,430.56/297,688.92 = 65,324.28/x
  3. Step 3: Cross multiply
    198,430.56x = 297,688.92 × 65,324.28
  4. Step 4: Simplify right side
    198,430.56x = 19,446,314,362.98
  5. Step 5: Solve for x
    x = 19,446,314,362.98/198,430.56
  6. Step 6: Final answer
    x = 98,000.60

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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.