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Finding the Fourth Proportional to 511,255.76, 705,564.51 and 281,812.52

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Solution

The fourth proportional to 511,255.76, 705,564.51 and 281,812.52 is: 388,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,255.76 : 705,564.51 = 281,812.52 : x
  2. Step 2: Convert to fraction form
    511,255.76/705,564.51 = 281,812.52/x
  3. Step 3: Cross multiply
    511,255.76x = 705,564.51 × 281,812.52
  4. Step 4: Simplify right side
    511,255.76x = 198,836,913,292.78
  5. Step 5: Solve for x
    x = 198,836,913,292.78/511,255.76
  6. Step 6: Final answer
    x = 388,918.68

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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.