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Finding the Fourth Proportional to 406,930.60, 609,963.90 and 196,431.40

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Solution

The fourth proportional to 406,930.60, 609,963.90 and 196,431.40 is: 294,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,930.60 : 609,963.90 = 196,431.40 : x
  2. Step 2: Convert to fraction form
    406,930.60/609,963.90 = 196,431.40/x
  3. Step 3: Cross multiply
    406,930.60x = 609,963.90 × 196,431.40
  4. Step 4: Simplify right side
    406,930.60x = 119,816,062,826.46
  5. Step 5: Solve for x
    x = 119,816,062,826.46/406,930.60
  6. Step 6: Final answer
    x = 294,438.57

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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.