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Finding the Fourth Proportional to 513,353.76, 769,873.68 and 180,852

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Solution

The fourth proportional to 513,353.76, 769,873.68 and 180,852 is: 271,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,353.76 : 769,873.68 = 180,852 : x
  2. Step 2: Convert to fraction form
    513,353.76/769,873.68 = 180,852/x
  3. Step 3: Cross multiply
    513,353.76x = 769,873.68 × 180,852
  4. Step 4: Simplify right side
    513,353.76x = 139,233,194,775.36
  5. Step 5: Solve for x
    x = 139,233,194,775.36/513,353.76
  6. Step 6: Final answer
    x = 271,222.70

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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.