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Finding the Fourth Proportional to 509,353, 764,029.50 and 159,145

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Solution

The fourth proportional to 509,353, 764,029.50 and 159,145 is: 238,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,353 : 764,029.50 = 159,145 : x
  2. Step 2: Convert to fraction form
    509,353/764,029.50 = 159,145/x
  3. Step 3: Cross multiply
    509,353x = 764,029.50 × 159,145
  4. Step 4: Simplify right side
    509,353x = 121,591,474,777.50
  5. Step 5: Solve for x
    x = 121,591,474,777.50/509,353
  6. Step 6: Final answer
    x = 238,717.50

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Double scale
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Similar ratio
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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.