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Finding the Fourth Proportional to 311,898.33, 430,419.20 and 175,931.87

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Solution

The fourth proportional to 311,898.33, 430,419.20 and 175,931.87 is: 242,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,898.33 : 430,419.20 = 175,931.87 : x
  2. Step 2: Convert to fraction form
    311,898.33/430,419.20 = 175,931.87/x
  3. Step 3: Cross multiply
    311,898.33x = 430,419.20 × 175,931.87
  4. Step 4: Simplify right side
    311,898.33x = 75,724,451,708.15
  5. Step 5: Solve for x
    x = 75,724,451,708.15/311,898.33
  6. Step 6: Final answer
    x = 242,785.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.