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Finding the Fourth Proportional to 291,135.92, 401,775.42 and 163,816.04

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Solution

The fourth proportional to 291,135.92, 401,775.42 and 163,816.04 is: 226,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,135.92 : 401,775.42 = 163,816.04 : x
  2. Step 2: Convert to fraction form
    291,135.92/401,775.42 = 163,816.04/x
  3. Step 3: Cross multiply
    291,135.92x = 401,775.42 × 163,816.04
  4. Step 4: Simplify right side
    291,135.92x = 65,817,258,273.74
  5. Step 5: Solve for x
    x = 65,817,258,273.74/291,135.92
  6. Step 6: Final answer
    x = 226,070.55

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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.