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Finding the Fourth Proportional to 406,259.74, 609,388.87 and 121,950.01

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Solution

The fourth proportional to 406,259.74, 609,388.87 and 121,950.01 is: 182,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,259.74 : 609,388.87 = 121,950.01 : x
  2. Step 2: Convert to fraction form
    406,259.74/609,388.87 = 121,950.01/x
  3. Step 3: Cross multiply
    406,259.74x = 609,388.87 × 121,950.01
  4. Step 4: Simplify right side
    406,259.74x = 74,314,978,790.39
  5. Step 5: Solve for x
    x = 74,314,978,790.39/406,259.74
  6. Step 6: Final answer
    x = 182,924.79

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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.