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Finding the Fourth Proportional to 406,134.64, 609,203.18 and 139,891.69

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Solution

The fourth proportional to 406,134.64, 609,203.18 and 139,891.69 is: 209,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,134.64 : 609,203.18 = 139,891.69 : x
  2. Step 2: Convert to fraction form
    406,134.64/609,203.18 = 139,891.69/x
  3. Step 3: Cross multiply
    406,134.64x = 609,203.18 × 139,891.69
  4. Step 4: Simplify right side
    406,134.64x = 85,222,462,403.57
  5. Step 5: Solve for x
    x = 85,222,462,403.57/406,134.64
  6. Step 6: Final answer
    x = 209,837.96

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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.