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Finding the Fourth Proportional to 509,381.44, 764,071.20 and 135,404.44

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Solution

The fourth proportional to 509,381.44, 764,071.20 and 135,404.44 is: 203,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,381.44 : 764,071.20 = 135,404.44 : x
  2. Step 2: Convert to fraction form
    509,381.44/764,071.20 = 135,404.44/x
  3. Step 3: Cross multiply
    509,381.44x = 764,071.20 × 135,404.44
  4. Step 4: Simplify right side
    509,381.44x = 103,458,632,956.13
  5. Step 5: Solve for x
    x = 103,458,632,956.13/509,381.44
  6. Step 6: Final answer
    x = 203,106.40

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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.