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Finding the Fourth Proportional to 511,091.55, 705,310.98 and 281,657.06

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Solution

The fourth proportional to 511,091.55, 705,310.98 and 281,657.06 is: 388,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,091.55 : 705,310.98 = 281,657.06 : x
  2. Step 2: Convert to fraction form
    511,091.55/705,310.98 = 281,657.06/x
  3. Step 3: Cross multiply
    511,091.55x = 705,310.98 × 281,657.06
  4. Step 4: Simplify right side
    511,091.55x = 198,655,817,012.52
  5. Step 5: Solve for x
    x = 198,655,817,012.52/511,091.55
  6. Step 6: Final answer
    x = 388,689.30

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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.