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Finding the Fourth Proportional to 311,158.58, 466,500.94 and 142,726.77

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Solution

The fourth proportional to 311,158.58, 466,500.94 and 142,726.77 is: 213,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,158.58 : 466,500.94 = 142,726.77 : x
  2. Step 2: Convert to fraction form
    311,158.58/466,500.94 = 142,726.77/x
  3. Step 3: Cross multiply
    311,158.58x = 466,500.94 × 142,726.77
  4. Step 4: Simplify right side
    311,158.58x = 66,582,172,011.35
  5. Step 5: Solve for x
    x = 66,582,172,011.35/311,158.58
  6. Step 6: Final answer
    x = 213,981.48

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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.