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Finding the Fourth Proportional to 409,054.14, 613,609.16 and 139,072.37

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Solution

The fourth proportional to 409,054.14, 613,609.16 and 139,072.37 is: 208,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,054.14 : 613,609.16 = 139,072.37 : x
  2. Step 2: Convert to fraction form
    409,054.14/613,609.16 = 139,072.37/x
  3. Step 3: Cross multiply
    409,054.14x = 613,609.16 × 139,072.37
  4. Step 4: Simplify right side
    409,054.14x = 85,336,076,371.50
  5. Step 5: Solve for x
    x = 85,336,076,371.50/409,054.14
  6. Step 6: Final answer
    x = 208,618.05

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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.