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Finding the Fourth Proportional to 291,171.51, 401,813.82 and 170,289.90

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Solution

The fourth proportional to 291,171.51, 401,813.82 and 170,289.90 is: 234,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,171.51 : 401,813.82 = 170,289.90 : x
  2. Step 2: Convert to fraction form
    291,171.51/401,813.82 = 170,289.90/x
  3. Step 3: Cross multiply
    291,171.51x = 401,813.82 × 170,289.90
  4. Step 4: Simplify right side
    291,171.51x = 68,424,835,226.42
  5. Step 5: Solve for x
    x = 68,424,835,226.42/291,171.51
  6. Step 6: Final answer
    x = 234,998.39

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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.