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Finding the Fourth Proportional to 291,810.80, 402,687.24 and 164,512.84

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Solution

The fourth proportional to 291,810.80, 402,687.24 and 164,512.84 is: 227,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,810.80 : 402,687.24 = 164,512.84 : x
  2. Step 2: Convert to fraction form
    291,810.80/402,687.24 = 164,512.84/x
  3. Step 3: Cross multiply
    291,810.80x = 402,687.24 × 164,512.84
  4. Step 4: Simplify right side
    291,810.80x = 66,247,221,484.16
  5. Step 5: Solve for x
    x = 66,247,221,484.16/291,810.80
  6. Step 6: Final answer
    x = 227,021.14

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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.