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Finding the Fourth Proportional to 332,210, 498,522.36 and 135,218

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Solution

The fourth proportional to 332,210, 498,522.36 and 135,218 is: 202,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,210 : 498,522.36 = 135,218 : x
  2. Step 2: Convert to fraction form
    332,210/498,522.36 = 135,218/x
  3. Step 3: Cross multiply
    332,210x = 498,522.36 × 135,218
  4. Step 4: Simplify right side
    332,210x = 67,409,196,474.48
  5. Step 5: Solve for x
    x = 67,409,196,474.48/332,210
  6. Step 6: Final answer
    x = 202,911.40

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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.