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Finding the Fourth Proportional to 212,628.10, 318,942.15 and 146,272.90

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Solution

The fourth proportional to 212,628.10, 318,942.15 and 146,272.90 is: 219,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,628.10 : 318,942.15 = 146,272.90 : x
  2. Step 2: Convert to fraction form
    212,628.10/318,942.15 = 146,272.90/x
  3. Step 3: Cross multiply
    212,628.10x = 318,942.15 × 146,272.90
  4. Step 4: Simplify right side
    212,628.10x = 46,652,593,212.74
  5. Step 5: Solve for x
    x = 46,652,593,212.74/212,628.10
  6. Step 6: Final answer
    x = 219,409.35

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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.