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Finding the Fourth Proportional to 324,436.50, 486,654.75 and 102,820.50

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Solution

The fourth proportional to 324,436.50, 486,654.75 and 102,820.50 is: 154,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,436.50 : 486,654.75 = 102,820.50 : x
  2. Step 2: Convert to fraction form
    324,436.50/486,654.75 = 102,820.50/x
  3. Step 3: Cross multiply
    324,436.50x = 486,654.75 × 102,820.50
  4. Step 4: Simplify right side
    324,436.50x = 50,038,084,722.38
  5. Step 5: Solve for x
    x = 50,038,084,722.38/324,436.50
  6. Step 6: Final answer
    x = 154,230.75

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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.