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Finding the Fourth Proportional to 511,071.62, 705,269.14 and 281,650.11

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Solution

The fourth proportional to 511,071.62, 705,269.14 and 281,650.11 is: 388,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,071.62 : 705,269.14 = 281,650.11 : x
  2. Step 2: Convert to fraction form
    511,071.62/705,269.14 = 281,650.11/x
  3. Step 3: Cross multiply
    511,071.62x = 705,269.14 × 281,650.11
  4. Step 4: Simplify right side
    511,071.62x = 198,639,127,334.26
  5. Step 5: Solve for x
    x = 198,639,127,334.26/511,071.62
  6. Step 6: Final answer
    x = 388,671.81

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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.