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Finding the Fourth Proportional to 327,096.78, 490,645.20 and 102,459.12

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Solution

The fourth proportional to 327,096.78, 490,645.20 and 102,459.12 is: 153,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,096.78 : 490,645.20 = 102,459.12 : x
  2. Step 2: Convert to fraction form
    327,096.78/490,645.20 = 102,459.12/x
  3. Step 3: Cross multiply
    327,096.78x = 490,645.20 × 102,459.12
  4. Step 4: Simplify right side
    327,096.78x = 50,271,075,424.22
  5. Step 5: Solve for x
    x = 50,271,075,424.22/327,096.78
  6. Step 6: Final answer
    x = 153,688.69

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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.