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Finding the Fourth Proportional to 291,956.40, 402,923.16 and 164,643.84

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Solution

The fourth proportional to 291,956.40, 402,923.16 and 164,643.84 is: 227,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,956.40 : 402,923.16 = 164,643.84 : x
  2. Step 2: Convert to fraction form
    291,956.40/402,923.16 = 164,643.84/x
  3. Step 3: Cross multiply
    291,956.40x = 402,923.16 × 164,643.84
  4. Step 4: Simplify right side
    291,956.40x = 66,338,816,287.33
  5. Step 5: Solve for x
    x = 66,338,816,287.33/291,956.40
  6. Step 6: Final answer
    x = 227,221.65

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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.