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Finding the Fourth Proportional to 406,770.78, 610,179.41 and 136,790.58

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Solution

The fourth proportional to 406,770.78, 610,179.41 and 136,790.58 is: 205,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,770.78 : 610,179.41 = 136,790.58 : x
  2. Step 2: Convert to fraction form
    406,770.78/610,179.41 = 136,790.58/x
  3. Step 3: Cross multiply
    406,770.78x = 610,179.41 × 136,790.58
  4. Step 4: Simplify right side
    406,770.78x = 83,466,795,397.96
  5. Step 5: Solve for x
    x = 83,466,795,397.96/406,770.78
  6. Step 6: Final answer
    x = 205,193.69

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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.