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Finding the Fourth Proportional to 208,446.48, 312,319.80 and 166,806

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Solution

The fourth proportional to 208,446.48, 312,319.80 and 166,806 is: 249,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,446.48 : 312,319.80 = 166,806 : x
  2. Step 2: Convert to fraction form
    208,446.48/312,319.80 = 166,806/x
  3. Step 3: Cross multiply
    208,446.48x = 312,319.80 × 166,806
  4. Step 4: Simplify right side
    208,446.48x = 52,096,816,558.80
  5. Step 5: Solve for x
    x = 52,096,816,558.80/208,446.48
  6. Step 6: Final answer
    x = 249,928.98

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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.