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Finding the Fourth Proportional to 511,214.90, 705,507.37 and 281,771.87

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Solution

The fourth proportional to 511,214.90, 705,507.37 and 281,771.87 is: 388,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,214.90 : 705,507.37 = 281,771.87 : x
  2. Step 2: Convert to fraction form
    511,214.90/705,507.37 = 281,771.87/x
  3. Step 3: Cross multiply
    511,214.90x = 705,507.37 × 281,771.87
  4. Step 4: Simplify right side
    511,214.90x = 198,792,126,711.72
  5. Step 5: Solve for x
    x = 198,792,126,711.72/511,214.90
  6. Step 6: Final answer
    x = 388,862.16

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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.