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Finding the Fourth Proportional to 216,212.20, 323,540.70 and 146,228.20

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Solution

The fourth proportional to 216,212.20, 323,540.70 and 146,228.20 is: 218,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,212.20 : 323,540.70 = 146,228.20 : x
  2. Step 2: Convert to fraction form
    216,212.20/323,540.70 = 146,228.20/x
  3. Step 3: Cross multiply
    216,212.20x = 323,540.70 × 146,228.20
  4. Step 4: Simplify right side
    216,212.20x = 47,310,774,187.74
  5. Step 5: Solve for x
    x = 47,310,774,187.74/216,212.20
  6. Step 6: Final answer
    x = 218,816.40

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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.