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Finding the Fourth Proportional to 511,064.40, 705,273.59 and 281,629.89

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Solution

The fourth proportional to 511,064.40, 705,273.59 and 281,629.89 is: 388,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,064.40 : 705,273.59 = 281,629.89 : x
  2. Step 2: Convert to fraction form
    511,064.40/705,273.59 = 281,629.89/x
  3. Step 3: Cross multiply
    511,064.40x = 705,273.59 × 281,629.89
  4. Step 4: Simplify right side
    511,064.40x = 198,626,120,045.24
  5. Step 5: Solve for x
    x = 198,626,120,045.24/511,064.40
  6. Step 6: Final answer
    x = 388,651.85

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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.