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Finding the Fourth Proportional to 311,030.70, 466,458.57 and 86,336.70

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Solution

The fourth proportional to 311,030.70, 466,458.57 and 86,336.70 is: 129,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,030.70 : 466,458.57 = 86,336.70 : x
  2. Step 2: Convert to fraction form
    311,030.70/466,458.57 = 86,336.70/x
  3. Step 3: Cross multiply
    311,030.70x = 466,458.57 × 86,336.70
  4. Step 4: Simplify right side
    311,030.70x = 40,272,493,620.52
  5. Step 5: Solve for x
    x = 40,272,493,620.52/311,030.70
  6. Step 6: Final answer
    x = 129,480.77

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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.