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Finding the Fourth Proportional to 198,428.33, 297,683.51 and 65,316.58

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Solution

The fourth proportional to 198,428.33, 297,683.51 and 65,316.58 is: 97,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,428.33 : 297,683.51 = 65,316.58 : x
  2. Step 2: Convert to fraction form
    198,428.33/297,683.51 = 65,316.58/x
  3. Step 3: Cross multiply
    198,428.33x = 297,683.51 × 65,316.58
  4. Step 4: Simplify right side
    198,428.33x = 19,443,667,724.80
  5. Step 5: Solve for x
    x = 19,443,667,724.80/198,428.33
  6. Step 6: Final answer
    x = 97,988.36

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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.