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Finding the Fourth Proportional to 216,408, 324,608.04 and 97,938.12

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Solution

The fourth proportional to 216,408, 324,608.04 and 97,938.12 is: 146,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,408 : 324,608.04 = 97,938.12 : x
  2. Step 2: Convert to fraction form
    216,408/324,608.04 = 97,938.12/x
  3. Step 3: Cross multiply
    216,408x = 324,608.04 × 97,938.12
  4. Step 4: Simplify right side
    216,408x = 31,791,501,174.48
  5. Step 5: Solve for x
    x = 31,791,501,174.48/216,408
  6. Step 6: Final answer
    x = 146,905.39

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1.5x scale

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.