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Finding the Fourth Proportional to 511,222.23, 705,489.48 and 296,489.61

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Solution

The fourth proportional to 511,222.23, 705,489.48 and 296,489.61 is: 409,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,222.23 : 705,489.48 = 296,489.61 : x
  2. Step 2: Convert to fraction form
    511,222.23/705,489.48 = 296,489.61/x
  3. Step 3: Cross multiply
    511,222.23x = 705,489.48 × 296,489.61
  4. Step 4: Simplify right side
    511,222.23x = 209,170,300,784.30
  5. Step 5: Solve for x
    x = 209,170,300,784.30/511,222.23
  6. Step 6: Final answer
    x = 409,157.29

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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.