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Finding the Fourth Proportional to 216,200.40, 324,300.60 and 149,715.60

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Solution

The fourth proportional to 216,200.40, 324,300.60 and 149,715.60 is: 224,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,200.40 : 324,300.60 = 149,715.60 : x
  2. Step 2: Convert to fraction form
    216,200.40/324,300.60 = 149,715.60/x
  3. Step 3: Cross multiply
    216,200.40x = 324,300.60 × 149,715.60
  4. Step 4: Simplify right side
    216,200.40x = 48,552,858,909.36
  5. Step 5: Solve for x
    x = 48,552,858,909.36/216,200.40
  6. Step 6: Final answer
    x = 224,573.40

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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.