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Finding the Fourth Proportional to 401,371.68, 601,980.82 and 201,636.60

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Solution

The fourth proportional to 401,371.68, 601,980.82 and 201,636.60 is: 302,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,371.68 : 601,980.82 = 201,636.60 : x
  2. Step 2: Convert to fraction form
    401,371.68/601,980.82 = 201,636.60/x
  3. Step 3: Cross multiply
    401,371.68x = 601,980.82 × 201,636.60
  4. Step 4: Simplify right side
    401,371.68x = 121,381,365,810.01
  5. Step 5: Solve for x
    x = 121,381,365,810.01/401,371.68
  6. Step 6: Final answer
    x = 302,416.37

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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.