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Finding the Fourth Proportional to 314,200.40, 471,421.56 and 145,806.80

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Solution

The fourth proportional to 314,200.40, 471,421.56 and 145,806.80 is: 218,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,200.40 : 471,421.56 = 145,806.80 : x
  2. Step 2: Convert to fraction form
    314,200.40/471,421.56 = 145,806.80/x
  3. Step 3: Cross multiply
    314,200.40x = 471,421.56 × 145,806.80
  4. Step 4: Simplify right side
    314,200.40x = 68,736,469,114.61
  5. Step 5: Solve for x
    x = 68,736,469,114.61/314,200.40
  6. Step 6: Final answer
    x = 218,766.33

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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.