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Finding the Fourth Proportional to 511,065.40, 705,274.97 and 281,630.89

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Solution

The fourth proportional to 511,065.40, 705,274.97 and 281,630.89 is: 388,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,065.40 : 705,274.97 = 281,630.89 : x
  2. Step 2: Convert to fraction form
    511,065.40/705,274.97 = 281,630.89/x
  3. Step 3: Cross multiply
    511,065.40x = 705,274.97 × 281,630.89
  4. Step 4: Simplify right side
    511,065.40x = 198,627,217,495.82
  5. Step 5: Solve for x
    x = 198,627,217,495.82/511,065.40
  6. Step 6: Final answer
    x = 388,653.23

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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.