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Finding the Fourth Proportional to 291,172.64, 401,785.68 and 163,892

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Solution

The fourth proportional to 291,172.64, 401,785.68 and 163,892 is: 226,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,172.64 : 401,785.68 = 163,892 : x
  2. Step 2: Convert to fraction form
    291,172.64/401,785.68 = 163,892/x
  3. Step 3: Cross multiply
    291,172.64x = 401,785.68 × 163,892
  4. Step 4: Simplify right side
    291,172.64x = 65,849,458,666.56
  5. Step 5: Solve for x
    x = 65,849,458,666.56/291,172.64
  6. Step 6: Final answer
    x = 226,152.63

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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.