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Finding the Fourth Proportional to 511,174.60, 705,425.70 and 281,740.24

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Solution

The fourth proportional to 511,174.60, 705,425.70 and 281,740.24 is: 388,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,174.60 : 705,425.70 = 281,740.24 : x
  2. Step 2: Convert to fraction form
    511,174.60/705,425.70 = 281,740.24/x
  3. Step 3: Cross multiply
    511,174.60x = 705,425.70 × 281,740.24
  4. Step 4: Simplify right side
    511,174.60x = 198,746,806,020.17
  5. Step 5: Solve for x
    x = 198,746,806,020.17/511,174.60
  6. Step 6: Final answer
    x = 388,804.15

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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.