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Finding the Fourth Proportional to 291,428.70, 437,106.33 and 81,082.86

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Solution

The fourth proportional to 291,428.70, 437,106.33 and 81,082.86 is: 121,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,428.70 : 437,106.33 = 81,082.86 : x
  2. Step 2: Convert to fraction form
    291,428.70/437,106.33 = 81,082.86/x
  3. Step 3: Cross multiply
    291,428.70x = 437,106.33 × 81,082.86
  4. Step 4: Simplify right side
    291,428.70x = 35,441,831,360.50
  5. Step 5: Solve for x
    x = 35,441,831,360.50/291,428.70
  6. Step 6: Final answer
    x = 121,614.07

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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.