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Finding the Fourth Proportional to 511,872, 706,339.08 and 330,591.84

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Solution

The fourth proportional to 511,872, 706,339.08 and 330,591.84 is: 456,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,872 : 706,339.08 = 330,591.84 : x
  2. Step 2: Convert to fraction form
    511,872/706,339.08 = 330,591.84/x
  3. Step 3: Cross multiply
    511,872x = 706,339.08 × 330,591.84
  4. Step 4: Simplify right side
    511,872x = 233,509,936,121.11
  5. Step 5: Solve for x
    x = 233,509,936,121.11/511,872
  6. Step 6: Final answer
    x = 456,188.14

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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.