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Finding the Fourth Proportional to 354,287.09, 531,064.40 and 164,592.69

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Solution

The fourth proportional to 354,287.09, 531,064.40 and 164,592.69 is: 246,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,287.09 : 531,064.40 = 164,592.69 : x
  2. Step 2: Convert to fraction form
    354,287.09/531,064.40 = 164,592.69/x
  3. Step 3: Cross multiply
    354,287.09x = 531,064.40 × 164,592.69
  4. Step 4: Simplify right side
    354,287.09x = 87,409,314,680.95
  5. Step 5: Solve for x
    x = 87,409,314,680.95/354,287.09
  6. Step 6: Final answer
    x = 246,718.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.