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Finding the Fourth Proportional to 527,290.84, 727,661.79 and 285,573.88

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Solution

The fourth proportional to 527,290.84, 727,661.79 and 285,573.88 is: 394,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,290.84 : 727,661.79 = 285,573.88 : x
  2. Step 2: Convert to fraction form
    527,290.84/727,661.79 = 285,573.88/x
  3. Step 3: Cross multiply
    527,290.84x = 727,661.79 × 285,573.88
  4. Step 4: Simplify right side
    527,290.84x = 207,801,200,698.05
  5. Step 5: Solve for x
    x = 207,801,200,698.05/527,290.84
  6. Step 6: Final answer
    x = 394,092.19

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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.