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Finding the Fourth Proportional to 291,232.76, 401,914.14 and 163,916.60

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Solution

The fourth proportional to 291,232.76, 401,914.14 and 163,916.60 is: 226,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,232.76 : 401,914.14 = 163,916.60 : x
  2. Step 2: Convert to fraction form
    291,232.76/401,914.14 = 163,916.60/x
  3. Step 3: Cross multiply
    291,232.76x = 401,914.14 × 163,916.60
  4. Step 4: Simplify right side
    291,232.76x = 65,880,399,320.72
  5. Step 5: Solve for x
    x = 65,880,399,320.72/291,232.76
  6. Step 6: Final answer
    x = 226,212.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.