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Finding the Fourth Proportional to 291,172.56, 401,813.32 and 163,848.08

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Solution

The fourth proportional to 291,172.56, 401,813.32 and 163,848.08 is: 226,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,172.56 : 401,813.32 = 163,848.08 : x
  2. Step 2: Convert to fraction form
    291,172.56/401,813.32 = 163,848.08/x
  3. Step 3: Cross multiply
    291,172.56x = 401,813.32 × 163,848.08
  4. Step 4: Simplify right side
    291,172.56x = 65,836,341,000.43
  5. Step 5: Solve for x
    x = 65,836,341,000.43/291,172.56
  6. Step 6: Final answer
    x = 226,107.64

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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.