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Finding the Fourth Proportional to 212,652.80, 318,979.20 and 146,297.60

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Solution

The fourth proportional to 212,652.80, 318,979.20 and 146,297.60 is: 219,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,652.80 : 318,979.20 = 146,297.60 : x
  2. Step 2: Convert to fraction form
    212,652.80/318,979.20 = 146,297.60/x
  3. Step 3: Cross multiply
    212,652.80x = 318,979.20 × 146,297.60
  4. Step 4: Simplify right side
    212,652.80x = 46,665,891,409.92
  5. Step 5: Solve for x
    x = 46,665,891,409.92/212,652.80
  6. Step 6: Final answer
    x = 219,446.40

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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.