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Finding the Fourth Proportional to 406,069.20, 609,103.80 and 125,586.45

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Solution

The fourth proportional to 406,069.20, 609,103.80 and 125,586.45 is: 188,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,069.20 : 609,103.80 = 125,586.45 : x
  2. Step 2: Convert to fraction form
    406,069.20/609,103.80 = 125,586.45/x
  3. Step 3: Cross multiply
    406,069.20x = 609,103.80 × 125,586.45
  4. Step 4: Simplify right side
    406,069.20x = 76,495,183,923.51
  5. Step 5: Solve for x
    x = 76,495,183,923.51/406,069.20
  6. Step 6: Final answer
    x = 188,379.68

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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.