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Finding the Fourth Proportional to 198,431.34, 297,688.01 and 65,319.59

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Solution

The fourth proportional to 198,431.34, 297,688.01 and 65,319.59 is: 97,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,431.34 : 297,688.01 = 65,319.59 : x
  2. Step 2: Convert to fraction form
    198,431.34/297,688.01 = 65,319.59/x
  3. Step 3: Cross multiply
    198,431.34x = 297,688.01 × 65,319.59
  4. Step 4: Simplify right side
    198,431.34x = 19,444,856,946.08
  5. Step 5: Solve for x
    x = 19,444,856,946.08/198,431.34
  6. Step 6: Final answer
    x = 97,992.87

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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.