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Finding the Fourth Proportional to 208,478.32, 312,716.94 and 146,425.84

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Solution

The fourth proportional to 208,478.32, 312,716.94 and 146,425.84 is: 219,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,478.32 : 312,716.94 = 146,425.84 : x
  2. Step 2: Convert to fraction form
    208,478.32/312,716.94 = 146,425.84/x
  3. Step 3: Cross multiply
    208,478.32x = 312,716.94 × 146,425.84
  4. Step 4: Simplify right side
    208,478.32x = 45,789,840,621.73
  5. Step 5: Solve for x
    x = 45,789,840,621.73/208,478.32
  6. Step 6: Final answer
    x = 219,638.38

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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.