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Finding the Fourth Proportional to 291,281.73, 401,960.62 and 162,220.15

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Solution

The fourth proportional to 291,281.73, 401,960.62 and 162,220.15 is: 223,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,281.73 : 401,960.62 = 162,220.15 : x
  2. Step 2: Convert to fraction form
    291,281.73/401,960.62 = 162,220.15/x
  3. Step 3: Cross multiply
    291,281.73x = 401,960.62 × 162,220.15
  4. Step 4: Simplify right side
    291,281.73x = 65,206,112,775.72
  5. Step 5: Solve for x
    x = 65,206,112,775.72/291,281.73
  6. Step 6: Final answer
    x = 223,859.26

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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.