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Finding the Fourth Proportional to 291,357, 437,035.64 and 80,996.76

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Solution

The fourth proportional to 291,357, 437,035.64 and 80,996.76 is: 121,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,357 : 437,035.64 = 80,996.76 : x
  2. Step 2: Convert to fraction form
    291,357/437,035.64 = 80,996.76/x
  3. Step 3: Cross multiply
    291,357x = 437,035.64 × 80,996.76
  4. Step 4: Simplify right side
    291,357x = 35,398,470,439.54
  5. Step 5: Solve for x
    x = 35,398,470,439.54/291,357
  6. Step 6: Final answer
    x = 121,495.18

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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.