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Finding the Fourth Proportional to 291,232.50, 401,822.28 and 170,403.45

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Solution

The fourth proportional to 291,232.50, 401,822.28 and 170,403.45 is: 235,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,232.50 : 401,822.28 = 170,403.45 : x
  2. Step 2: Convert to fraction form
    291,232.50/401,822.28 = 170,403.45/x
  3. Step 3: Cross multiply
    291,232.50x = 401,822.28 × 170,403.45
  4. Step 4: Simplify right side
    291,232.50x = 68,471,902,798.87
  5. Step 5: Solve for x
    x = 68,471,902,798.87/291,232.50
  6. Step 6: Final answer
    x = 235,110.79

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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.